初二数学因式分解练习题50道 求50道初二因式分解数学题和50道初二分式加减法 数学题
\u521d\u4e8c\u4e0a\u5b66\u671f\u6570\u5b66\u56e0\u5f0f\u5206\u89e350\u9898\u9898\u76ee1.a^4-4a+3
2.(a+x)^m+1*(b+x)^n-1-(a+x)^m*(b+x)^n
3.x^2+(a+1/a)xy+y^2
4.9a^2-4b^2+4bc-c^2
5.(c-a)^2-4(b-c)(a-b)
\u7b54\u68481.\u539f\u5f0f=a^4-a-3a+3=(a-1)(a^3+a^2+a-3)
2.[1-(a+x)^m][(b+x)^n-1]
3.(ax+y)(1/ax+y)
4.9a^2-4b^2+4bc-c^2=(3a)^2-(4b^2-4bc+c^2)=(3a)^2-(2b-c)^2=(3a+2b-c)(3a-2b+c)
5.(c-a)^2-4(b-c)(a-b)
= (c-a)(c-a)-4(ab-b^2-ac+bc)
=c^2-2ac+a^2-4ab+4b^2+4ac-4bc
=c^2+a^2+4b^2-4ab+2ac-4bc
=(a-2b)^2+c^2-(2c)(a-2b)
=(a-2b-c)^2
1.x^2+2x-8
2.x^2+3x-10
3.x^2-x-20
4.x^2+x-6
5.2x^2+5x-3
6.6x^2+4x-2
7.x^2-2x-3
8.x^2+6x+8
9.x^2-x-12
10.x^2-7x+10
11.6x^2+x+2
12.4x^2+4x-3
\u89e3\u65b9\u7a0b\uff1a\uff08x\u7684\u5e73\u65b9+5x-6\uff09\u5206\u4e4b\u4e00=\uff08x\u7684\u5e73\u65b9+x+6\uff09\u5206\u4e4b\u4e00
\u5341\u5b57\u76f8\u4e58\u6cd5\u867d\u7136\u6bd4\u8f83\u96be\u5b66,\u4f46\u662f\u4e00\u65e6\u5b66\u4f1a\u4e86\u5b83,\u7528\u5b83\u6765\u89e3\u9898,\u4f1a\u7ed9\u6211\u4eec\u5e26\u6765\u5f88\u591a\u65b9\u4fbf,\u4ee5\u4e0b\u662f\u6211\u5bf9\u5341\u5b57\u76f8\u4e58\u6cd5\u63d0\u51fa\u7684\u4e00\u4e9b\u4e2a\u4eba\u89c1\u89e3\u3002
1\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u7684\u65b9\u6cd5\uff1a\u5341\u5b57\u5de6\u8fb9\u76f8\u4e58\u7b49\u4e8e\u4e8c\u6b21\u9879\u7cfb\u6570\uff0c\u53f3\u8fb9\u76f8\u4e58\u7b49\u4e8e\u5e38\u6570\u9879\uff0c\u4ea4\u53c9\u76f8\u4e58\u518d\u76f8\u52a0\u7b49\u4e8e\u4e00\u6b21\u9879\u7cfb\u6570\u3002
2\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u7684\u7528\u5904\uff1a\uff081\uff09\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u6765\u5206\u89e3\u56e0\u5f0f\u3002\uff082\uff09\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u6765\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u3002
3\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u7684\u4f18\u70b9\uff1a\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u6765\u89e3\u9898\u7684\u901f\u5ea6\u6bd4\u8f83\u5feb\uff0c\u80fd\u591f\u8282\u7ea6\u65f6\u95f4\uff0c\u800c\u4e14\u8fd0\u7528\u7b97\u91cf\u4e0d\u5927\uff0c\u4e0d\u5bb9\u6613\u51fa\u9519\u3002
4\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u7684\u7f3a\u9677\uff1a1\u3001\u6709\u4e9b\u9898\u76ee\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u6765\u89e3\u6bd4\u8f83\u7b80\u5355\uff0c\u4f46\u5e76\u4e0d\u662f\u6bcf\u4e00\u9053\u9898\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u6765\u89e3\u90fd\u7b80\u5355\u30022\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u53ea\u9002\u7528\u4e8e\u4e8c\u6b21\u4e09\u9879\u5f0f\u7c7b\u578b\u7684\u9898\u76ee\u30023\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u6bd4\u8f83\u96be\u5b66\u3002
5\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u89e3\u9898\u5b9e\u4f8b\uff1a
1)\u3001 \u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u89e3\u4e00\u4e9b\u7b80\u5355\u5e38\u89c1\u7684\u9898\u76ee
\u4f8b1\u628am²+4m-12\u5206\u89e3\u56e0\u5f0f
\u5206\u6790\uff1a\u672c\u9898\u4e2d\u5e38\u6570\u9879-12\u53ef\u4ee5\u5206\u4e3a-1\u00d712\uff0c-2\u00d76\uff0c-3\u00d74\uff0c-4\u00d73\uff0c-6\u00d72\uff0c-12\u00d71\u5f53-12\u5206\u6210-2\u00d76\u65f6\uff0c\u624d\u7b26\u5408\u672c\u9898
\u89e3\uff1a\u56e0\u4e3a 1 -2
1 \u2573 6
\u6240\u4ee5m²+4m-12=\uff08m-2\uff09\uff08m+6\uff09
\u4f8b2\u628a5x²+6x-8\u5206\u89e3\u56e0\u5f0f
\u5206\u6790\uff1a\u672c\u9898\u4e2d\u76845\u53ef\u5206\u4e3a1\u00d75,-8\u53ef\u5206\u4e3a-1\u00d78\uff0c-2\u00d74\uff0c-4\u00d72\uff0c-8\u00d71\u3002\u5f53\u4e8c\u6b21\u9879\u7cfb\u6570\u5206\u4e3a1\u00d75\uff0c\u5e38\u6570\u9879\u5206\u4e3a-4\u00d72\u65f6\uff0c\u624d\u7b26\u5408\u672c\u9898
\u89e3\uff1a \u56e0\u4e3a 1 2
5 \u2573 -4
\u6240\u4ee55x²+6x-8=\uff08x+2\uff09\uff085x-4\uff09
\u4f8b3\u89e3\u65b9\u7a0bx²-8x+15=0
\u5206\u6790\uff1a\u628ax²-8x+15\u770b\u6210\u5173\u4e8ex\u7684\u4e00\u4e2a\u4e8c\u6b21\u4e09\u9879\u5f0f\uff0c\u521915\u53ef\u5206\u62101\u00d715\uff0c3\u00d75\u3002
\u89e3\uff1a \u56e0\u4e3a 1 -3
1 \u2573 -5
\u6240\u4ee5\u539f\u65b9\u7a0b\u53ef\u53d8\u5f62\uff08x-3\uff09\uff08x-5\uff09=0
\u6240\u4ee5x1=3 x2=5
\u4f8b4\u3001\u89e3\u65b9\u7a0b 6x²-5x-25=0
\u5206\u6790\uff1a\u628a6x²-5x-25\u770b\u6210\u4e00\u4e2a\u5173\u4e8ex\u7684\u4e8c\u6b21\u4e09\u9879\u5f0f\uff0c\u52196\u53ef\u4ee5\u5206\u4e3a1\u00d76\uff0c2\u00d73\uff0c-25\u53ef\u4ee5\u5206\u6210-1\u00d725\uff0c-5\u00d75\uff0c-25\u00d71\u3002
\u89e3\uff1a \u56e0\u4e3a 2 -5
3 \u2573 5
\u6240\u4ee5 \u539f\u65b9\u7a0b\u53ef\u53d8\u5f62\u6210\uff082x-5\uff09\uff083x+5\uff09=0
\u6240\u4ee5 x1=5/2 x2=-5/3
2)\u3001\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u89e3\u4e00\u4e9b\u6bd4\u8f83\u96be\u7684\u9898\u76ee
\u4f8b5\u628a14x²-67xy+18y²\u5206\u89e3\u56e0\u5f0f
\u5206\u6790\uff1a\u628a14x²-67xy+18y²\u770b\u6210\u662f\u4e00\u4e2a\u5173\u4e8ex\u7684\u4e8c\u6b21\u4e09\u9879\u5f0f,\u521914\u53ef\u5206\u4e3a1\u00d714,2\u00d77, 18y²\u53ef\u5206\u4e3ay.18y , 2y.9y , 3y.6y
\u89e3: \u56e0\u4e3a 2 -9y
7 \u2573 -2y
\u6240\u4ee5 14x²-67xy+18y²= (2x-9y)(7x-2y)
\u4f8b6 \u628a10x²-27xy-28y²-x+25y-3\u5206\u89e3\u56e0\u5f0f
\u5206\u6790\uff1a\u5728\u672c\u9898\u4e2d\uff0c\u8981\u628a\u8fd9\u4e2a\u591a\u9879\u5f0f\u6574\u7406\u6210\u4e8c\u6b21\u4e09\u9879\u5f0f\u7684\u5f62\u5f0f
\u89e3\u6cd5\u4e00\u300110x²-27xy-28y²-x+25y-3
=10x²-\uff0827y+1\uff09x -\uff0828y²-25y+3\uff09 4y -3
7y \u2573 -1
=10x²-\uff0827y+1\uff09x -\uff084y-3\uff09\uff087y -1\uff09
=[2x -\uff087y -1\uff09][5x +\uff084y -3\uff09] 2 -\uff087y \u2013 1\uff09
5 \u2573 4y - 3
=\uff082x -7y +1\uff09\uff085x +4y -3\uff09
\u8bf4\u660e\uff1a\u5728\u672c\u9898\u4e2d\u5148\u628a28y²-25y+3\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u4e3a\uff084y-3\uff09\uff087y -1\uff09\uff0c\u518d\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u628a10x²-\uff0827y+1\uff09x -\uff084y-3\uff09\uff087y -1\uff09\u5206\u89e3\u4e3a[2x -\uff087y -1\uff09][5x +\uff084y -3\uff09]
\u89e3\u6cd5\u4e8c\u300110x²-27xy-28y²-x+25y-3
=\uff082x -7y\uff09\uff085x +4y\uff09-\uff08x -25y\uff09- 3 2 -7y
=[\uff082x -7y\uff09+1] [\uff085x -4y\uff09-3] 5 \u2573 4y
=\uff082x -7y+1\uff09\uff085x -4y -3\uff09 2 x -7y 1
5 x - 4y \u2573 -3
\u8bf4\u660e:\u5728\u672c\u9898\u4e2d\u5148\u628a10x²-27xy-28y²\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u4e3a\uff082x -7y\uff09\uff085x +4y\uff09,\u518d\u628a\uff082x -7y\uff09\uff085x +4y\uff09-\uff08x -25y\uff09- 3\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u4e3a[\uff082x -7y\uff09+1] [\uff085x -4y\uff09-3].
\u4f8b7\uff1a\u89e3\u5173\u4e8ex\u65b9\u7a0b\uff1ax²- 3ax + 2a²\u2013ab -b²=0
\u5206\u6790\uff1a2a²\u2013ab-b²\u53ef\u4ee5\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3
\u89e3\uff1ax²- 3ax + 2a²\u2013ab -b²=0
x²- 3ax +\uff082a²\u2013ab - b²\uff09=0
x²- 3ax +\uff082a+b\uff09\uff08a-b\uff09=0 1 -b
2 \u2573 +b
[x-\uff082a+b\uff09][ x-\uff08a-b\uff09]=0 1 -\uff082a+b\uff09
1 \u2573 -\uff08a-b\uff09
\u6240\u4ee5 x1=2a+b x2=a-b
5-7(a+1)-6(a+1)^2
=-[6(a+1)^2+7(a+1)-5]
=-[2(a+1)-1][3(a+1)+5]
=-(2a+1)(3a+8);
-4x^3 +6x^2 -2x
=-2x(2x^2-3x+1)
=-2x(x-1)(2x-1);
6(y-z)^2 +13(z-y)+6
=6(z-y)^2+13(z-y)+6
=[2(z-y)+3][3(z-y)+2]
=(2z-2y+3)(3z-3y+2).
\u6bd4\u5982...x^2+6x-7\u8fd9\u4e2a\u5f0f\u5b50
\u7531\u4e8e\u4e00\u6b21\u5e42x\u524d\u7cfb\u6570\u4e3a6
\u6240\u4ee5\uff0c\u6211\u4eec\u53ef\u4ee5\u60f3\u5230\uff0c7-1=6
\u90a3\u6b63\u597d\u8fd9\u4e2a\u5f0f\u5b50\u7684\u5e38\u6570\u9879\u4e3a-7
\u56e0\u6b64\u6211\u4eec\u60f3\u5230\u5c06-7\u770b\u62107*\uff08-1\uff09
\u4e8e\u662f\u6211\u4eec\u4f5c\u5341\u5b57\u76f8\u6210
x +7
x -1
\u7684\u5230\uff08x+7\uff09\u00b7\uff08x-1\uff09
\u6210\u529f\u5206\u89e3\u4e86\u56e0\u5f0f
3ab^2-9a^2b^2+6a^3b^2
=3ab^2(1-3a+2a^2)
=3ab^2(2a^2-3a+1)
=3ab^2(2a-1)(a-1)
5-7(a+1)-6(a+1)^2
=-[6(a+1)^2+7(a+1)-5]
=-[2(a+1)-1][3(a+1)+5]
=-(2a+1)(3a+8);
-4x^3 +6x^2 -2x
=-2x(2x^2-3x+1)
=-2x(x-1)(2x-1);
6(y-z)^2 +13(z-y)+6
=6(z-y)^2+13(z-y)+6
=[2(z-y)+3][3(z-y)+2]
=(2z-2y+3)(3z-3y+2).
\u6bd4\u5982...x^2+6x-7\u8fd9\u4e2a\u5f0f\u5b50
\u7531\u4e8e\u4e00\u6b21\u5e42x\u524d\u7cfb\u6570\u4e3a6
\u6240\u4ee5\uff0c\u6211\u4eec\u53ef\u4ee5\u60f3\u5230\uff0c7-1=6
\u90a3\u6b63\u597d\u8fd9\u4e2a\u5f0f\u5b50\u7684\u5e38\u6570\u9879\u4e3a-7
\u56e0\u6b64\u6211\u4eec\u60f3\u5230\u5c06-7\u770b\u62107*\uff08-1\uff09
\u4e8e\u662f\u6211\u4eec\u4f5c\u5341\u5b57\u76f8\u6210
x +7
x -1
\u7684\u5230\uff08x+7\uff09\u00b7\uff08x-1\uff09
\u6210\u529f\u5206\u89e3\u4e86\u56e0\u5f0f
3ab^2-9a^2b^2+6a^3b^2
=3ab^2(1-3a+2a^2)
=3ab^2(2a^2-3a+1)
=3ab^2(2a-1)(a-1)
x^2+3x-40
=x^2+3x+2.25-42.25
=(x+1.5)^2-(6.5)^2
=(x+8)(x-5)\uff0e
\u2479\u5341\u5b57\u76f8\u4e58\u6cd5
\u8fd9\u79cd\u65b9\u6cd5\u6709\u4e24\u79cd\u60c5\u51b5\u3002
\u2460x^2+(p+q)x+pq\u578b\u7684\u5f0f\u5b50\u7684\u56e0\u5f0f\u5206\u89e3
\u8fd9\u7c7b\u4e8c\u6b21\u4e09\u9879\u5f0f\u7684\u7279\u70b9\u662f\uff1a\u4e8c\u6b21\u9879\u7684\u7cfb\u6570\u662f1\uff1b\u5e38\u6570\u9879\u662f\u4e24\u4e2a\u6570\u7684\u79ef\uff1b\u4e00\u6b21\u9879\u7cfb\u6570\u662f\u5e38\u6570\u9879\u7684\u4e24\u4e2a\u56e0\u6570\u7684\u548c\u3002\u56e0\u6b64\uff0c\u53ef\u4ee5\u76f4\u63a5\u5c06\u67d0\u4e9b\u4e8c\u6b21\u9879\u7684\u7cfb\u6570\u662f1\u7684\u4e8c\u6b21\u4e09\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\uff1ax^2+(p+q)x+pq=(x+p)(x+q) \uff0e
\u2461kx^2+mx+n\u578b\u7684\u5f0f\u5b50\u7684\u56e0\u5f0f\u5206\u89e3
\u5982\u679c\u5982\u679c\u6709k=ac\uff0cn=bd\uff0c\u4e14\u6709ad+bc=m\u65f6\uff0c\u90a3\u4e48kx^2+mx+n=(ax+b)(cx+d)\uff0e
\u56fe\u793a\u5982\u4e0b\uff1a
a b
\u00d7
c d
\u4f8b\u5982\uff1a\u56e0\u4e3a
1 -3
\u00d7
7 2
-3\u00d77=-21\uff0c1\u00d72=2\uff0c\u4e142-21=-19\uff0c
\u6240\u4ee57x^2-19x-6=(7x+2)(x-3)\uff0e
\u5341\u5b57\u76f8\u4e58\u6cd5\u53e3\u8bc0\uff1a\u9996\u5c3e\u5206\u89e3\uff0c\u4ea4\u53c9\u76f8\u4e58\uff0c\u6c42\u548c\u51d1\u4e2d
\u2476\u5206\u7ec4\u5206\u89e3\u6cd5
\u5206\u7ec4\u5206\u89e3\u662f\u89e3\u65b9\u7a0b\u7684\u4e00\u79cd\u7b80\u6d01\u7684\u65b9\u6cd5\uff0c\u6211\u4eec\u6765\u5b66\u4e60\u8fd9\u4e2a\u77e5\u8bc6\u3002
\u80fd\u5206\u7ec4\u5206\u89e3\u7684\u65b9\u7a0b\u6709\u56db\u9879\u6216\u5927\u4e8e\u56db\u9879\uff0c\u4e00\u822c\u7684\u5206\u7ec4\u5206\u89e3\u6709\u4e24\u79cd\u5f62\u5f0f\uff1a\u4e8c\u4e8c\u5206\u6cd5\uff0c\u4e09\u4e00\u5206\u6cd5\u3002
\u6bd4\u5982\uff1a
ax+ay+bx+by
=a(x+y)+b(x+y)
=(a+b)(x+y)
\u6211\u4eec\u628aax\u548cay\u5206\u4e00\u7ec4\uff0cbx\u548cby\u5206\u4e00\u7ec4\uff0c\u5229\u7528\u4e58\u6cd5\u5206\u914d\u5f8b\uff0c\u4e24\u4e24\u76f8\u914d\uff0c\u7acb\u5373\u89e3\u9664\u4e86\u56f0\u96be\u3002
\u540c\u6837\uff0c\u8fd9\u9053\u9898\u4e5f\u53ef\u4ee5\u8fd9\u6837\u505a\u3002
ax+ay+bx+by
=x(a+b)+y(a+b)
=(a+b)(x+y)
\u51e0\u9053\u4f8b\u9898\uff1a
1. 5ax+5bx+3ay+3by
\u89e3\u6cd5\uff1a=5x(a+b)+3y(a+b)
=(5x+3y)(a+b)
\u8bf4\u660e\uff1a\u7cfb\u6570\u4e0d\u4e00\u6837\u4e00\u6837\u53ef\u4ee5\u505a\u5206\u7ec4\u5206\u89e3\uff0c\u548c\u4e0a\u9762\u4e00\u6837\uff0c\u628a5ax\u548c5bx\u770b\u6210\u6574\u4f53\uff0c\u628a3ay\u548c3by\u770b\u6210\u4e00\u4e2a\u6574\u4f53\uff0c\u5229\u7528\u4e58\u6cd5\u5206\u914d\u5f8b\u8f7b\u677e\u89e3\u51fa\u3002
2. x3-x2+x-1
\u89e3\u6cd5\uff1a=(x3-x2)+(x-1)
=x2(x-1)+(x-1)
=(x-1)(x2+1)
\u5229\u7528\u4e8c\u4e8c\u5206\u6cd5\uff0c\u63d0\u516c\u56e0\u5f0f\u6cd5\u63d0\u51fax2\uff0c\u7136\u540e\u76f8\u5408\u8f7b\u677e\u89e3\u51b3\u3002
3. x2-x-y2-y
\u89e3\u6cd5\uff1a=(x2-y2)-(x+y)
=(x+y)(x-y)-(x+y)
=(x+y)(x-y+1)
\u5229\u7528\u4e8c\u4e8c\u5206\u6cd5\uff0c\u518d\u5229\u7528\u516c\u5f0f\u6cd5a2-b2=(a+b)(a-b)\uff0c\u7136\u540e\u76f8\u5408\u89e3\u51b3\u3002
758²\u2014258² =(758+258)(758-258)=1016*500=508000
\u8fd8\u6709\uff0c
1\uff0e\u82e5(2x)n−81 = (4x2+9)(2x+3)(2x−3)\uff0c\u90a3\u4e48n\u7684\u503c\u662f( )
A\uff0e2 B\uff0e 4 C\uff0e6 D\uff0e8
2\uff0e\u82e59x2−12xy+m\u662f\u4e24\u6570\u548c\u7684\u5e73\u65b9\u5f0f\uff0c\u90a3\u4e48m\u7684\u503c\u662f( )
A\uff0e2y2 B\uff0e4y 2 C\uff0e\u00b14y2 D\uff0e\u00b116y2
3\uff0e\u628a\u591a\u9879\u5f0fa4− 2a2b2+b4\u56e0\u5f0f\u5206\u89e3\u7684\u7ed3\u679c\u4e3a( )
A\uff0ea2(a2−2b2)+b4 B\uff0e(a2−b2)2
C\uff0e(a−b)4 D\uff0e(a+b)2(a−b)2
4\uff0e\u628a(a+b)2−4(a2−b2)+4(a−b)2\u5206\u89e3\u56e0\u5f0f\u4e3a( )
A\uff0e( 3a−b)2 B\uff0e(3b+a)2
C\uff0e(3b−a)2 D\uff0e( 3a+b)2
5\uff0e\u8ba1\u7b97\uff1a(−)2001+(−)2000\u7684\u7ed3\u679c\u4e3a( )
A\uff0e(−)2003 B\uff0e−(−)2001
C\uff0e D\uff0e−
6\uff0e\u5df2\u77e5x\uff0cy\u4e3a\u4efb\u610f\u6709\u7406\u6570\uff0c\u8bb0M = x2+y2\uff0cN = 2xy\uff0c\u5219M\u4e0eN\u7684\u5927\u5c0f\u5173\u7cfb\u4e3a( )
A\uff0eM>N B\uff0eM\u2265N C\uff0eM\u2264N D\uff0e\u4e0d\u80fd\u786e\u5b9a
7\uff0e\u5bf9\u4e8e\u4efb\u4f55\u6574\u6570m\uff0c\u591a\u9879\u5f0f( 4m+5)2−9\u90fd\u80fd( )
A\uff0e\u88ab8\u6574\u9664 B\uff0e\u88abm\u6574\u9664
C\uff0e\u88ab(m−1)\u6574\u9664 D\uff0e\u88ab(2n−1)\u6574\u9664
8\uff0e\u5c06−3x2n−6xn\u5206\u89e3\u56e0\u5f0f\uff0c\u7ed3\u679c\u662f( )
A\uff0e−3xn(xn+2) B\uff0e−3(x2n+2xn)
C\uff0e−3xn(x2+2) D\uff0e3(−x2n−2xn)
9\uff0e\u4e0b\u5217\u53d8\u5f62\u4e2d\uff0c\u662f\u6b63\u786e\u7684\u56e0\u5f0f\u5206\u89e3\u7684\u662f( )
A\uff0e 0.09m2− n2 = ( 0.03m+ )( 0.03m−)
B\uff0ex2−10 = x2−9−1 = (x+3)(x−3)−1
C\uff0ex4−x2 = (x2+x)(x2−x)
D\uff0e(x+a)2−(x−a)2 = 4ax
10\uff0e\u591a\u9879\u5f0f(x+y−z)(x−y+z)−(y+z−x)(z−x−y)\u7684\u516c\u56e0\u5f0f\u662f( )
A\uff0ex+y−z B\uff0ex−y+z C\uff0ey+z−x D\uff0e\u4e0d\u5b58\u5728
11\uff0e\u5df2\u77e5x\u4e3a\u4efb\u610f\u6709\u7406\u6570\uff0c\u5219\u591a\u9879\u5f0fx−1−x2\u7684\u503c( )
A\uff0e\u4e00\u5b9a\u4e3a\u8d1f\u6570
B\uff0e\u4e0d\u53ef\u80fd\u4e3a\u6b63\u6570
C\uff0e\u4e00\u5b9a\u4e3a\u6b63\u6570
D\uff0e\u53ef\u80fd\u4e3a\u6b63\u6570\u6216\u8d1f\u6570\u6216\u96f6
\u4e8c\u3001\u89e3\u7b54\u9898\uff1a
\u5206\u89e3\u56e0\u5f0f\uff1a
(1)(ab+b)2−(a+b)2
(2)(a2−x2)2−4ax(x−a)2
(3)7xn+1−14xn+7xn−1(n\u4e3a\u4e0d\u5c0f\u4e8e1\u7684\u6574\u6570)
\u7b54\u6848\uff1a
\u4e00\u3001\u9009\u62e9\u9898\uff1a
1\uff0eB \u8bf4\u660e\uff1a\u53f3\u8fb9\u8fdb\u884c\u6574\u5f0f\u4e58\u6cd5\u540e\u5f9716x4−81 = (2x)4−81\uff0c\u6240\u4ee5n\u5e94\u4e3a4\uff0c\u7b54\u6848\u4e3aB\uff0e
2\uff0eB \u8bf4\u660e\uff1a\u56e0\u4e3a9x2−12xy+m\u662f\u4e24\u6570\u548c\u7684\u5e73\u65b9\u5f0f\uff0c\u6240\u4ee5\u53ef\u8bbe9x2−12xy+m = (ax+by)2\uff0c\u5219\u67099x2−12xy+m = a2x2+2abxy+b2y2\uff0c\u5373a2 = 9\uff0c2ab = −12\uff0cb2y2 = m\uff1b\u5f97\u5230a = 3\uff0cb = −2\uff1b\u6216a = −3\uff0cb = 2\uff1b\u6b64\u65f6b2 = 4\uff0c\u56e0\u6b64\uff0cm = b2y2 = 4y2\uff0c\u7b54\u6848\u4e3aB\uff0e
3\uff0eD \u8bf4\u660e\uff1a\u5148\u8fd0\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\uff0ca4− 2a2b2+b4 = (a2−b2)2\uff0c\u518d\u8fd0\u7528\u4e24\u6570\u548c\u7684\u5e73\u65b9\u516c\u5f0f\uff0c\u4e24\u6570\u5206\u522b\u662fa2\u3001−b2\uff0c\u5219\u6709(a2−b2)2 = (a+b)2(a−b)2\uff0c\u5728\u8fd9\u91cc\uff0c\u6ce8\u610f\u56e0\u5f0f\u5206\u89e3\u8981\u5206\u89e3\u5230\u4e0d\u80fd\u5206\u89e3\u4e3a\u6b62\uff1b\u7b54\u6848\u4e3aD\uff0e
4\uff0eC \u8bf4\u660e\uff1a(a+b)2−4(a2−b2)+4(a−b)2 = (a+b)2−2(a+b)[2(a−b)]+[2(a−b)]2 = [a+b−2(a−b)]2 = (3b−a)2\uff1b\u6240\u4ee5\u7b54\u6848\u4e3aC\uff0e
5\uff0eB \u8bf4\u660e\uff1a(−)2001+(−)2000 = (−)2000[(−)+1] = ()2000 •= ()2001 = −(−)2001\uff0c\u6240\u4ee5\u7b54\u6848\u4e3aB\uff0e
6\uff0eB \u8bf4\u660e\uff1a\u56e0\u4e3aM−N = x2+y2−2xy = (x−y)2\u22650\uff0c\u6240\u4ee5M\u2265N\uff0e
7\uff0eA \u8bf4\u660e\uff1a( 4m+5)2−9 = ( 4m+5+3)( 4m+5−3) = ( 4m+8)( 4m+2) = 8(m+2)( 2m+1)\uff0e
8\uff0eA
9\uff0eD \u8bf4\u660e\uff1a\u9009\u9879A\uff0c0.09 = 0.32\uff0c\u5219 0.09m2− n2 = ( 0.3m+n)( 0.3m−n)\uff0c\u6240\u4ee5A\u9519\uff1b\u9009\u9879B\u7684\u53f3\u8fb9\u4e0d\u662f\u4e58\u79ef\u7684\u5f62\u5f0f\uff1b\u9009\u9879C\u53f3\u8fb9(x2+x)(x2−x)\u53ef\u7ee7\u7eed\u5206\u89e3\u4e3ax2(x+1)(x−1)\uff1b\u6240\u4ee5\u7b54\u6848\u4e3aD\uff0e
10\uff0eA \u8bf4\u660e\uff1a\u672c\u9898\u7684\u5173\u952e\u662f\u7b26\u53f7\u7684\u53d8\u5316\uff1az−x−y = −(x+y−z)\uff0c\u800cx−y+z\u2260y+z−x\uff0c\u540c\u65f6x−y+z\u2260−(y+z−x)\uff0c\u6240\u4ee5\u516c\u56e0\u5f0f\u4e3ax+y−z\uff0e
11\uff0eB \u8bf4\u660e\uff1ax−1−x2 = −(1−x+x2) = −(1−x)2\u22640\uff0c\u5373\u591a\u9879\u5f0fx−1−x2\u7684\u503c\u4e3a\u975e\u6b63\u6570\uff0c\u6b63\u786e\u7b54\u6848\u5e94\u8be5\u662fB\uff0e
\u4e8c\u3001\u89e3\u7b54\u9898\uff1a
(1) \u7b54\u6848\uff1aa(b−1)(ab+2b+a)
\u8bf4\u660e\uff1a(ab+b)2−(a+b)2 = (ab+b+a+b)(ab+b−a−b) = (ab+2b+a)(ab−a) = a(b−1)(ab+2b+a)\uff0e
(2) \u7b54\u6848\uff1a(x−a)4
\u8bf4\u660e\uff1a(a2−x2)2−4ax(x−a)2
= [(a+x)(a−x)]2−4ax(x−a)2
= (a+x)2(a−x)2−4ax(x−a)2
= (x−a)2[(a+x)2−4ax]
= (x−a)2(a2+2ax+x2−4ax)
= (x−a)2(x−a)2 = (x−a)4\uff0e
(3) \u7b54\u6848\uff1a7xn−1(x−1)2
\u8bf4\u660e\uff1a\u539f\u5f0f = 7xn−1 •x2−7xn−1 •2x+7xn−1 = 7xn−1(x2−2x+1) = 7xn−1(x−1)2\uff0e
\u3000\u30001\uff0e\u5206\u89e3\u56e0\u5f0f(1+y)^2-2x^2(1+y^2)+x^4(1-y)^2\uff0e
\u3000\u3000\u89e3\uff1a\u539f\u5f0f=(1+y)^2+2(1+y)x^2(1-y)+x^4(1-y)^2-2(1+y)x^2(1-y)-2x^2(1+y^2)\uff08\u8865\u9879\uff09
\u3000\u3000=[(1+y)+x^2(1-y)]^2-2(1+y)x^2(1-y)-2x^2(1+y^2)\uff08\u5b8c\u5168\u5e73\u65b9\uff09
\u3000\u3000=[(1+y)+x^2(1-y)]^2-(2x)^2
\u3000\u3000=[(1+y)+x^2(1-y)+2x][(1+y)+x^2(1-y)-2x]
\u3000\u3000=(x^2-x^2y+2x+y+1)(x^2-x^2y-2x+y+1)
\u3000\u3000=[(x+1)^2-y(x^2-1)][(x-1)^2-y(x^2-1)]
\u3000\u3000=(x+1)(x+1-xy+y)(x-1)(x-1-xy-y)\uff0e
\u3000\u30002\uff0e\u6c42\u8bc1\uff1a\u5bf9\u4e8e\u4efb\u4f55\u5b9e\u6570x,y\uff0c\u4e0b\u5f0f\u7684\u503c\u90fd\u4e0d\u4f1a\u4e3a33\uff1a
\u3000\u3000x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5\uff0e
\u3000\u3000\u89e3\uff1a\u539f\u5f0f=(x^5+3x^4y)-(5x^3y^2+15x^2y^3)+(4xy^4+12y^5)
\u3000\u3000=x^4(x+3y)-5x^2y^2(x+3y)+4y^4(x+3y)
\u3000\u3000=(x+3y)(x^4-5x^2y^2+4y^4)
\u3000\u3000=(x+3y)(x^2-4y^2)(x^2-y^2)
\u3000\u3000=(x+3y)(x+y)(x-y)(x+2y)(x-2y)\uff0e
\u3000\u3000\u5f53y=0\u65f6\uff0c\u539f\u5f0f=x^5\u4e0d\u7b49\u4e8e33\uff1b\u5f53y\u4e0d\u7b49\u4e8e0\u65f6\uff0cx+3y\uff0cx+y\uff0cx-y\uff0cx+2y\uff0cx-2y\u4e92\u4e0d\u76f8\u540c\uff0c\u800c33\u4e0d\u80fd\u5206\u6210\u56db\u4e2a\u4ee5\u4e0a\u4e0d\u540c\u56e0\u6570\u7684\u79ef\uff0c\u6240\u4ee5\u539f\u547d\u9898\u6210\u7acb\u3002
\u3000\u30003\uff0e\uff0e\u25b3ABC\u7684\u4e09\u8fb9a\u3001b\u3001c\u6709\u5982\u4e0b\u5173\u7cfb\u5f0f\uff1a-c^2+a^2+2ab-2bc=0\uff0c\u6c42\u8bc1\uff1a\u8fd9\u4e2a\u4e09\u89d2\u5f62\u662f\u7b49\u8170\u4e09\u89d2\u5f62\u3002
\u3000\u3000\u5206\u6790\uff1a\u6b64\u9898\u5b9e\u8d28\u4e0a\u662f\u5bf9\u5173\u7cfb\u5f0f\u7684\u7b49\u53f7\u5de6\u8fb9\u7684\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002
\u3000\u3000\u8bc1\u660e\uff1a\u2235-c^2+a^2+2ab-2bc=0\uff0c
\u3000\u3000\u2234(a+c)(a-c)+2b(a-c)=0\uff0e
\u3000\u3000\u2234(a-c)(a+2b+c)=0\uff0e
\u3000\u3000\u2235a\u3001b\u3001c\u662f\u25b3ABC\u7684\u4e09\u6761\u8fb9\uff0c
\u3000\u3000\u2234a+2b+c>0\uff0e
\u3000\u3000\u2234a\uff0dc=0\uff0c
\u3000\u3000\u5373a=c\uff0c\u25b3ABC\u4e3a\u7b49\u8170\u4e09\u89d2\u5f62\u3002
\u3000\u30004\uff0e\u628a-12x^2n\u00d7y^n+18x^(n+2)y^(n+1)-6x^n\u00d7y^(n-1)\u5206\u89e3\u56e0\u5f0f\u3002
\u3000\u3000\u89e3\uff1a-12x^2n\u00d7y^n+18x^(n+2)y^(n+1)-6x^n\u00d7y^(n-1)
\u3000\u3000=-6x^n\u00d7y^(n-1)(2x^n\u00d7y-3x^2y^2+1)\uff0e
\u3000\u3000\u4e00\u3001\u586b\u7a7a\u9898(10\u00d73'=30')
\u3000\u30001\u3001\u8ba1\u7b973\u00d7103-104=_________
\u3000\u30002\u3001\u5206\u89e3\u56e0\u5f0f x3y-x2y2+2xy3=xy(_________)
\u3000\u30003\u3001\u5206\u89e3\u56e0\u5f0f \u20139a2+ =________
\u3000\u30004\u3001\u5206\u89e3\u56e0\u5f0f 4x2-4xy+y2=_________
\u3000\u30005\u3001\u5206\u89e3\u56e0\u5f0f x2-5y+xy-5x=__________
\u3000\u30006\u3001\u5f53k=_______\u65f6\uff0c\u4e8c\u6b21\u4e09\u9879\u5f0fx2-kx+12\u5206\u89e3\u56e0\u5f0f\u7684\u7ed3\u679c\u662f(x-4)(x-3)
\u3000\u30007\u3001\u5206\u89e3\u56e0\u5f0f x2+3x-4=________
\u3000\u30008\u3001\u5df2\u77e5\u77e9\u5f62\u4e00\u8fb9\u957f\u662fx+5\uff0c\u9762\u79ef\u4e3ax2+12x+35,\u5219\u53e6\u4e00\u8fb9\u957f\u662f_________
\u3000\u30009\u3001\u82e5a+b=-4,ab= ,\u5219a2+b2=_________
\u3000\u300010\u3001\u5316\u7b801+x+x(1+x)+x(1+x)2+\u2026+x(1+x)1995=________
\u3000\u3000\u4e8c\u3001\u9009\u62e9\u9898(12\u00d73'=36')
\u3000\u30001\u3001\u4e0b\u5217\u5404\u5f0f\u4ece\u5de6\u5230\u53f3\u7684\u53d8\u5f62\uff0c\u662f\u56e0\u5f0f\u5206\u89e3\u7684\u662f( )
\u3000\u3000A\u3001m(a+b)=ma+mb B\u3001ma+mb+1=m(a+b)+1
\u3000\u3000C\u3001(a+3)(a-2)=a2+a-6 D\u3001x2-1=(x+1)(x-1)
\u3000\u30002\u3001\u82e5y2-2my+1\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u5219m\u7684\u503c\u662f( )
\u3000\u3000A\u3001m=1 B\u3001m=-1 C\u3001m=0 D\u3001m=\u00b11
\u3000\u30003\u3001\u628a-a(x-y)-b(y-x)+c(x-y)\u5206\u89e3\u56e0\u5f0f\u6b63\u786e\u7684\u7ed3\u679c\u662f( )
\u3000\u3000A\u3001(x-y)(-a-b+c) B\u3001(y-x)(a-b-c)
\u3000\u3000C\u3001-(x-y)(a+b-c) D\u3001-(y-x)(a+b-c)
\u3000\u30004\u3001-(2x-y)(2x+y)\u662f\u4e0b\u5217\u54ea\u4e00\u4e2a\u591a\u9879\u5f0f\u5206\u89e3\u56e0\u5f0f\u540e\u6240\u5f97\u7684\u7b54\u6848( )
\u3000\u3000A\u30014x2-y2 B\u30014x2+y2 C\u3001-4x2-y2 D\u3001-4x2+y2
\u3000\u30005\u3001m-n+ \u662f\u4e0b\u5217\u54ea\u4e2a\u591a\u9879\u5f0f\u7684\u4e00\u4e2a\u56e0\u5f0f( )
\u3000\u3000A\u3001(m-n)2+ (m-n)+ B\u3001(m-n)2+ (m-n)+
\u3000\u3000C\u3001(m-n)2- (m-n)+ D\u3001(m-n)2- (m-n)+
\u3000\u30006\u3001\u5206\u89e3\u56e0\u5f0fa4-2a2b2+b4\u7684\u7ed3\u679c\u662f( )
\u3000\u3000A\u3001a2(a2-2b2)+b4 B\u3001(a-b)2
\u3000\u3000C\u3001(a-b)4 D\u3001(a+b)2(a-b)2
\u3000\u30007\u3001\u4e0b\u5217\u591a\u9879\u5f0f(1) a2+b2 (2)a2-ab+b2 (3)(x2+y2)2-x2y2
\u3000\u3000(4)x2-9 (5)2x2+8xy+8y2\uff0c\u5176\u4e2d\u80fd\u7528\u516c\u5f0f\u6cd5\u5206\u89e3\u56e0\u5f0f\u7684\u4e2a\u6570\u6709( )
\u3000\u3000A\u30012\u4e2a B\u30013\u4e2a C\u30014\u4e2a D\u30015\u4e2a
\u3000\u30008\u3001\u628a\u591a\u9879\u5f0f4x2-2x-y2-y\u7528\u5206\u7ec4\u5206\u89e3\u6cd5\u5206\u89e3\u56e0\u5f0f\uff0c\u6b63\u786e\u7684\u5206\u7ec4\u65b9\u6cd5\u5e94\u8be5\u662f( )
\u3000\u3000A\u3001(4x2-y)-(2x+y2) B\u3001(4x2-y2)-(2x+y)
\u3000\u3000C\u30014x2-(2x+y2+y) D\u3001(4x2-2x)-(y2+y)
\u3000\u30009\u3001\u4e0b\u5217\u591a\u9879\u5f0f\u5df2\u7ecf\u8fdb\u884c\u4e86\u5206\u7ec4\uff0c\u80fd\u63a5\u4e0b\u53bb\u5206\u89e3\u56e0\u5f0f\u7684\u6709( )
\u3000\u3000(1) (m3+m2-m)-1 (2) \u20134b2+(9a2-6ac+c2)
\u3000\u3000(3) (5x2+6y)+(15x+2xy) (4)(x2-y2)+(mx+my)
\u3000\u3000A\u30011\u4e2a B\u30012\u4e2a C\u30013\u4e2a D\u30014\u4e2a
\u3000\u300010\u3001\u5c06x2-10x-24\u5206\u89e3\u56e0\u5f0f\uff0c\u5176\u4e2d\u6b63\u786e\u7684\u662f( )
\u3000\u3000A (x+2)(x-12) B(x+4)(x-6)
\u3000\u3000C(x-4)(x-6) D(x-2)(x+12)
\u3000\u300011\u3001\u5c06x2-5x+m\u6709\u4e00\u4e2a\u56e0\u5f0f\u662f(x+1)\uff0c\u5219m\u7684\u503c\u662f( )
\u3000\u3000A\u30016 B\u3001-6 C\u30014 D\u3001-4
\u3000\u300012\u3001\u5df2\u77e5x2+ax-12\u80fd\u5206\u89e3\u6210\u4e24\u4e2a\u6574\u7cfb\u6570\u7684\u4e00\u6b21\u56e0\u5f0f\u7684\u4e58\u79ef\uff0c\u5219\u7b26\u5408\u6761\u4ef6\u7684\u6574\u6570a\u7684\u4e2a\u6570\u662f( )
\u3000\u3000A\u30013\u4e2a B\u30014\u4e2a C\u30016\u4e2a D\u30018\u4e2a
\u3000\u3000\u4e09\u3001\u5206\u89e3\u56e0\u5f0f(6\u00d75'=30')
\u3000\u30001\u3001x-xy2 2\u3001
\u3000\u3000
\u3000\u30003\u3001x3+x2y-xy2-y3 4\u30011-m2-n2+2mn
\u3000\u3000
\u3000\u30005\u3001(x2+x)2-8(x2+x)+12 6\u3001x4+x2y2+y4
\u3000\u3000
\u3000\u3000\u56db\u3001\u5df2\u77e5\u957f\u65b9\u5f62\u5468\u957f\u4e3a300\u5398\u7c73\uff0c\u4e24\u90bb\u8fb9\u5206\u522b\u4e3ax\u5398\u7c73\u3001y\u5398\u7c73\uff0c\u4e14x3+x2y-4xy2-4y3=0\uff0c\u6c42\u957f\u65b9\u5f62\u7684\u9762\u79ef\u3002(6')
\u3000\u3000
\u3000\u3000\u4e94\u3001\u5206\u89e3\u56e0\u5f0f(x2+5x+3)(x2+5x-23)+k=(x2+5x-10)2\u540e\uff0c\u6c42k\u7684\u503c\u3002(6')
\u3000\u3000\u516d\u3001\u5df2\u77e5\u5173\u4e8ex\u7684\u4e8c\u6b21\u4e09\u9879\u5f0fx2+mx+n\u6709\u4e00\u4e2a\u56e0\u5f0f(x+5)\uff0c\u4e14m+n=17\uff0c\u8bd5\u6c42m\u3001n\u7684\u503c\u3002(6')
\u3000\u3000
\u3000\u3000\u4e03\u3001\u8bbe\u591a\u9879\u5f0fA=(a2+1)(b2+1)-4ab
\u3000\u3000(1)\u8bd5\u5c06\u591a\u9879\u5f0f\u5199\u6210\u4e24\u4e2a\u975e\u8d1f\u6570\u7684\u548c\u7684\u5f62\u5f0f\u3002
\u3000\u3000(2)\u4ee4A=0\uff0c\u6c42a\u3001b\u7684\u503c\u3002 (6')
\u3000\u3000\u4e00\u3001\u9009\u62e9
\u3000\u30001.\u4e0b\u5217\u5404\u5f0f\u7531\u5de6\u5230\u53f3\u53d8\u5f62\u4e2d\uff0c\u662f\u56e0\u5f0f\u5206\u89e3\u7684\u662f\uff08 \uff09
\u3000\u3000A.a(x+y)=ax+ay B. x2-4x+4=x(x-4)+4
\u3000\u3000C. 10x2-5x=5x(2x-1) D. x2-16+3x=(x-4)(x+4)+3x
\u3000\u30002.\u4e0b\u5217\u5404\u5f0f\u4e2d\uff0c\u80fd\u7528\u63d0\u516c\u56e0\u5f0f\u5206\u89e3\u56e0\u5f0f\u7684\u662f\uff08 \uff09
\u3000\u3000A. x2-y B. x2+2x C. x2+y2 D. x2-xy+1
\u3000\u30003.\u591a\u9879\u5f0f6x3y2-3x2y2-18x2y3\u5206\u89e3\u56e0\u5f0f\u65f6\uff0c\u5e94\u63d0\u53d6\u7684\u516c\u56e0\u5f0f\u662f\uff08 \uff09
\u3000\u3000A. 3x2y B.3xy2 C. 3x2y2 D.3x3y3
\u3000\u30004.\u591a\u9879\u5f0fx3+x2\u63d0\u53d6\u516c\u56e0\u5f0f\u540e\u5269\u4e0b\u7684\u56e0\u5f0f\u662f\uff08 \uff09
\u3000\u3000A. x+1 B.x2 C. x D. x2+1
\u3000\u30005.\u4e0b\u5217\u53d8\u5f62\u9519\u8bef\u7684\u662f\uff08 \uff09
\u3000\u3000A.-x-y=-(x+y) B.(a-b)(b-c)= - (b-a)(b-c) C. \u2013x-y+z=-(x+y+z) D.(a-b)2=(b-a)2
\u3000\u30006.\u4e0b\u5217\u5404\u5f0f\u4e2d\u80fd\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u56e0\u5f0f\u5206\u89e3\u7684\u662f\uff08 \uff09
\u3000\u3000A. \u2013x2y2 B.x2+y2 C.-x2+y2 D.x-y
\u3000\u30007.\u4e0b\u5217\u5206\u89e3\u56e0\u5f0f\u9519\u8bef\u7684\u662f\uff08 \uff09
\u3000\u3000A. 1-16a2=(1+4a)(1-4a) B. x3-x=x(x2-1)
\u3000\u3000C.a2-b2c2=(a+bc)(a-bc) D.m2-0.01=(m+0.1)(m-0.1)
\u3000\u30008.\u4e0b\u5217\u591a\u9879\u5f0f\u4e2d\uff0c\u80fd\u7528\u516c\u5f0f\u6cd5\u5206\u89e3\u56e0\u5f0f\u7684\u662f\uff08 \uff09
\u3000\u3000A.x2\uff0dxy\u3000\u3000\u3000 B. x2\uff0bxy C. x2\uff0dy2 \u3000 D. x2\uff0by2
\u3000\u3000\u4e8c\u3001\u586b\u7a7a
\u3000\u30009.a2b+ab2-ab=ab(__________).
\u3000\u300010.-7ab+14a2-49ab2=-7a(________).
\u3000\u300011.3(y-x)2+2(x-y)=___________
\u3000\u300012.x(a-1)(a-2)-y(1-a)(2-a)=____________.
\u3000\u300013.-a2+b2=(a+b)(______)
\u3000\u300014.1-a4=___________
\u3000\u300015.992-1012=________
\u3000\u300016.x2+x+____=(______)2
\u3000\u300017.\u82e5a+b=1,x-y=2,\u5219a2+2ab+b2-x+y=____\u3002
\u3000\u3000\u4e09\u3001\u89e3\u7b54
\u3000\u300018.\u56e0\u5f0f\u5206\u89e3\uff1a
\u3000\u3000\u2460
\u3000\u3000\u2461
\u3000\u3000
\u3000\u3000\u2462
\u3000\u3000\u24632a2b2-4ab+2
\u3000\u3000
\u3000\u3000\u2464(x2+y2)2-4x2y2
\u3000\u3000
\u3000\u3000\u2465(x+y)2-4(x+y-1)
\u3000\u300019.\u5df2\u77e5a+b-c=3,\u6c422a+2b-2c\u7684\u503c\u3002
\u3000\u300020\u3001\u5df2\u77e5\uff0c2x2-Ax+B=2(x2+4x-1),\u8bf7\u95eeA\u3001B\u7684\u503c\u662f\u591a\u5c11\uff1f
\u3000\u3000
\u3000\u300021\u3001\u82e52x2+mx-1\u80fd\u5206\u89e3\u4e3a(2x+1)(x-1),\u6c42m\u7684\u503c\u3002
\u3000\u300022.\u5df2\u77e5a+b=5,ab=7,\u6c42a2b+ab2-a-b\u7684\u503c\u3002
\u3000\u3000
\u3000\u300023. \u5df2\u77e5a2b2-8ab+4a2+b2+4=0,\u6c42ab\u7684\u503c\u3002
\u3000\u300024.\u8bf7\u95ee9910-99\u80fd\u88ab99\u6574\u9664\u5417\uff1f\u8bf4\u660e\u7406\u7531\u3002
\u3000\u3000
\u3000\u3000\u53c2\u8003\u7b54\u6848
\u3000\u3000\u4e00\u3001\u9009\u62e91. C 2. B 3.C 4.A 5.C 6. C 7. B 8. C
\u3000\u3000\u4e8c\u3001\u586b\u7a7a
\u3000\u30009. a+b-1\uff1b 10.b-2a+7b2 11. (x-y)(3x-3y+2) 12. (a-1)(a-2)(x-y)
\u3000\u300013. b-a 14. (1+a)(1-a)(1+a2) 15.-400 16. 17. -1
\u3000\u3000\u89e3\u7b54\u9898
\u3000\u300018. \u89e3\uff1a\u2460\u539f\u5f0f=-4x(x2-4x+6)
\u3000\u3000\u2461\u539f\u5f0f=8a(a-b)2+12(a-b)3=4(a-b)2(2a+3a-3b)=4(a-b)2(5a-3b)
\u3000\u3000\u2462\u539f\u5f0f=2am-1(a2+2a-1)
\u3000\u3000\u2463\u539f\u5f0f=2(a2b2-2ab+1)=2(ab-1)2.
\u3000\u3000\u2464\u539f\u5f0f=( x2+y2+2xy)(x2+y2-2xy)=(x+y)2(x-y)2
\u3000\u3000\u2465\u539f\u5f0f=(x+y)2-4(x+y)+4=(x+y-2)2
\u3000\u300019. \u89e3\uff1a2a+2b-2c=2(a+b-c)=2\u00d73=6.
\u3000\u300020\u3001\u89e3\uff1a2x2-Ax+B=2(x2+4x-1)= 2x2+8x-2
\u3000\u3000\u6240\u4ee5A=-8\uff0cB=-2.
\u3000\u300021\u3001\u89e3\uff1a2x2+mx-1=(2x+1)(x-1)= 2x2-x-1\u6240\u4ee5mx=-x
\u3000\u3000\u5373m=-1.
\u3000\u300022. \u89e3\uff1aa2b+ab2-a-b
\u3000\u3000=ab(a+b)-(a+b)
\u3000\u3000=(a+b)(ab-1)
\u3000\u3000\u628aa+b=5,ab=7\u4ee3\u5165\u4e0a\u5f0f\uff0c\u539f\u5f0f=30.
\u3000\u300023. \u89e3\uff1a\u5c06a2b2-8ab+4a2+b2+4=0\u53d8\u5f62\u5f97
\u3000\u3000a2b2-4ab+4+4a2-4ab+b2=0\uff1b(ab-2)2+(2a-b)2=0
\u3000\u3000\u6240\u4ee5ab=2\uff0c2a=b\u89e3\u5f97\uff1aa=\u00b11,b=\u00b12.
\u3000\u3000\u6240\u4ee5ab=2\u6216ab= -2.
\u3000\u300024. \u89e3\uff1a9910-99=99(999-1)
\u3000\u3000\u6240\u4ee59910-99\u80fd\u88ab99\u6574\u9664\uff0c\u7ed3\u679c\u4e3a999-1.
\u3000\u300050\u9053\u521d\u4e8c\u56e0\u5f0f\u5206\u89e3\u6570\u5b66\u9898\uff1a
\u3000\u3000http://wenku.baidu.com/view/d5cb58323968011ca30091ff.html
\u3000\u3000\u4e00 \u3001\u9009\u62e9\u9898:(\u6bcf\u5c0f\u98984\u5206,\u51718\u5206)
\u3000\u30001.\u4e0b\u5217\u5404\u5f0f\u8ba1\u7b97 \u6b63\u786e\u7684\u662f( )
\u3000\u3000A. B. C. D.
\u3000\u30002. \u5316\u7b80 +1\u7b49\u4e8e( )
\u3000\u3000A. B. C. D.
\u3000\u30003. \u82e5a\uff0db=2ab\uff0c\u5219 \u7684\u503c\u4e3a( )
\u3000\u3000A. B.\uff0d C.2 D.\uff0d2
\u3000\u30004. \u82e5 \uff0c\u5219M\u3001N\u7684\u503c \u5206\u522b\u4e3a( )
\u3000\u3000A.M= \uff0d 1\uff0cN = \uff0d2 B.M = \uff0d2\uff0cN = \uff0d 1 C.M=1\uff0c N=2 D.M=2\uff0cN=1
\u3000\u30005.\u82e5x2+x\uff0d2=0\uff0c\u5219x2+x\uff0d \u7684\u503c\u4e3a( )
\u3000\u3000A. B. C.2 D.\uff0d
\u3000\u3000\u4e8c\u3001\u586b\u7a7a\u9898:(\u6bcf\u5c0f\u98984\u5206,\u51718\u5206)
\u3000\u30001. \u8ba1\u7b97\uff1a =________.
\u3000\u30002. \u5df2\u77e5x\u22600\uff0c =________.
\u3000\u30003. \u5316\u7b80\uff1ax+ =________.
\u3000\u30004. \u5982\u679cm+n=2\uff0cmn =\uff0d4\uff0c\u90a3\u4e48 \u7684\u503c\u4e3a________.
\u3000\u30005. \u7532\u3001\u4e59\u4e24\u5730\u76f8\u8dddS\u5343\u7c73\uff0c\u6c7d\u8f66\u4ece\u7532\u5730\u5230\u4e59\u5730\u6309\u6bcf\u5c0f\u65f6v\u5343\u7c73\u7684\u901f\u5ea6\u884c\u9a76\uff0c\u53ef\u6309\u65f6 \u5230\u8fbe\uff1b\u82e5\u6bcf\u5c0f\u65f6\u591a\u884c\u9a76a\u5343\u7c73\uff0c\u5219\u53ef\u63d0\u524d________\u5c0f \u65f6\u5230\u8fbe(\u4fdd\u7559\u6700\u7b80\u7ed3\u679c).
\u3000\u3000\u4e09\u3001\u89e3\u7b54\u9898:(\u517150\u5206)
\u3000\u30001 . (4\u00d75=20)\u8ba1\u7b97\uff1a(1)a+b+ (2)
\u3000\u3000( 3) (4 )(x+1\uff0d )\u00f7
\u3000\u30002. (10\u5206) \u5316\u7b80\u6c42\u503c\uff1a(2+ )\u00f7(a\uff0d )\u5176\u4e2da=2.
\u3000\u3000
\u3000\u30003. (10\u5206)\u5df2\u77e5 \uff0c\u6c42 \u7684\u503c.
\u3000\u3000
\u3000\u30004 . (10\u5206)\u4e00\u9879\u5de5\u7a0b\uff0c\u7532\u5de5\u7a0b\u961f\u5355\u72ec\u5b8c\u6210\u9700\u8981m\u5929\uff0c\u4e59\u5de5\u7a0b\u961f\u5355\u72ec\u5b8c\u6210\u6bd4\u7532\u961f\u5355\u72ec \u5b8c\u6210\u591a\u9700\u8981n\u5929\u65f6\u95f4\uff0c\u90a3\u4e48\u7532\u3001\u4e59\u5de5\u7a0b\u961f\u5408\u505a\u9700\u8981\u591a \u5c11\u5929\u80fd\u591f\u5b8c\u6210\u6b64\u9879\u5de5\u7a0b\uff1f
\u3000\u300050\u9053\u521d\u4e8c\u5206\u5f0f\u52a0\u51cf\u6cd5 \u6570\u5b66\u9898\uff1a
\u3000\u3000http://wenku.baidu.com/view/4299eb72a417866fb84a8eb9.html
(2)3a2(x-y)3-4b2(y-x)2
(3)(x+y)(m-a)-3y(a-m)2+(a-m)3
(4)8x(a-1)-4(1-a)
(5)m(1-a)+mn(1-a)+1-a
(1)16x4-64y4
(2)16x6-1/4
(3)(a6+b4)2-4a6b4
(5)-2m8+512
(6)(x+y)3-64 或m3-64n3
(1)-6ax^3y+8x^2y^2-2x^2y
=2x^2y(-3ax+4y-1)
(2)3a^2(x-y)^3-4b^2(y-x)^2
=(x-y)^2(3a^2-4b^2)
=(x-y)^2(3^0.5a+2b)(3^0.5a-2b)
(3)(x+y)(m-a)-3y(a-m)^2+(a-m)^3
=(a-m)[(a-m)^2-3y(a-m)-(x-y)]
此题是不是有错,按照道理后面这一项还可以再分解的,是关于(a-m)的分解式
(4)8x(a-1)-4(1-a)
=4(a-1)(2x+1)
(5)m(1-a)+mn(1-a)+1-a
=(1-a)(m+mn+1)
此题是不是有错,按照道理后面这一项还可以再分解的
例如:m+n+mn+1=(m+1)(n+1)
(1)16x4-64y4
=16(x^4-4y^4)
=16(x^2+2y^2)(x-2^0.5y)(x+2^0.5y)
(2)16x6-1/4
=1/4(64x^6-1)
=1/4(8x^3-1)(8x^3+1)
=1/4(2x-1)(4x^2+2x+1)(2x+1)(4x^2-2x+1)
(3)(a6+b4)2-4a6b4
=a^12+2a^6b^4+b^8-4a^6b^4
=a^12-2a^6b^4+b^8
=(a^6-b^4)^2
=(a^3+b^2)^2(a^3-b^2)^2
(5)-2m8+512
=-2(m^8-256)
=-2(m^4-16)(m^4+16)
=-2(m^2-4)(m^2+4)(m^4+16)
=-2(m-2)(m+2)(m^2+4)(m^4+16)
(6) (x+y)3-64
=(x+y-4)(x^2+2xy+y^2+4x+4y+16)
或m3-64n3
=(m-4n)(m^2+4mn+16n^2)
1- 14 x2
4x –2 x2 – 2
( x- y )3 –(y- x)
x2 –y2 – x + y
x2 –y2 －1 ( x + y) (x – y )
x2 + 1 x2 －2－（ x －1x )2
a3－a2－2a
4m2－9n2－4m+1
3a2+bc－3ac-ab
9－x2+2xy－y2
2x2－3x－1
－2x2+5xy+2y2
10a(x－y)2－5b(y－x)
an+1－4an＋4an-1
x3(2x－y)－2x＋y
x(6x－1)－1
2ax－10ay＋5by＋6x
1－a2－ab－14 b2
a4＋4
(x2＋x)(x2＋x－3)＋2
x5y－9xy5
－4x2＋3xy＋2y2
4a－a5
2x2－4x＋1
4y2＋4y－5
3X2－7X+2
8xy(x－y)－2(y－x)3
x6－y6
x3＋2xy－x－xy2
(x＋y)(x＋y－1)－12
4ab－（1－a2）（1－b2）
－3m2－2m＋4
a2－a－6
2(y－z)＋81(z－y)
9m2－6m＋2n－n2
ab(c2＋d2)＋cd(a2＋b2)
a4－3a2－4
x4＋4y4
a2＋2ab＋b2－2a－2b＋1
x2－2x－4
4x2＋8x－1
2x2＋4xy＋y2
- m2 – n2 + 2mn + 1
(a + b)3d – 4(a + b)2cd+4(a + b)c2d
(x + a)2 – (x – a)2
–x5y – xy +2x3y
x6 – x4 – x2 + 1
(x +3) (x +2) +x2 – 9
(x –y)3 +9(x – y) –6(x – y)2
(a2 + b2 –1 )2 – 4a2b2
(ax + by)2 + (bx – ay)2
x2 + 2ax – 3a2
3a3b2c－6a2b2c2＋9ab2c3
xy＋6－2x－3y
x2(x－y)＋y2(y－x)
2x2－(a－2b)x－ab
a4－9a2b2
ab(x2－y2)＋xy(a2－b2)
(x＋y)(a－b－c)＋(x－y)(b＋c－a)
a2－a－b2－b
(3a－b)2－4(3a－b)(a＋3b)＋4(a＋3b)2
(a＋3)2－6(a＋3)
(x＋1)2(x＋2)－(x＋1)(x＋2)2
35.因式分解x2－25＝ 。
36.因式分解x2－20x＋100＝ 。
37.因式分解x2＋4x＋3＝ 。
38.因式分解4x2－12x＋5＝ 。
39.因式分解下列各式：
(1)3ax2－6ax＝ 。
(2)x(x＋2)－x＝ 。
(3)x2－4x－ax＋4a＝ 。
(4)25x2－49＝ 。
(5)36x2－60x＋25＝ 。
(6)4x2＋12x＋9＝ 。
(7)x2－9x＋18＝ 。
(8)2x2－5x－3＝ 。
(9)12x2－50x＋8＝ 。
40.因式分解(x＋2)(x－3)＋(x＋2)(x＋4)＝ 。
41.因式分解2ax2－3x＋2ax－3＝ 。
42.因式分解9x2－66x＋121＝ 。
43.因式分解8－2x2＝ 。
44.因式分解x2－x＋14 ＝ 。
45.因式分解9x2－30x＋25＝ 。
46.因式分解－20x2＋9x＋20＝ 。
47.因式分解12x2－29x＋15＝ 。
48.因式分解36x2＋39x＋9＝ 。
49.因式分解21x2－31x－22＝ 。
50.因式分解9x4－35x2－4＝ 。
51.因式分解(2x＋1)(x＋1)＋(2x＋1)(x－3)＝ 。
52.因式分解2ax2－3x＋2ax－3＝ 。
53.因式分解x(y＋2)－x－y－1＝ 。
54.因式分解(x2－3x)＋(x－3)2＝ 。
55.因式分解9x2－66x＋121＝ 。
56.因式分解8－2x2＝ 。
57.因式分解x4－1＝ 。
58.因式分解x2＋4x－xy－2y＋4＝ 。
59.因式分解4x2－12x＋5＝ 。
60.因式分解21x2－31x－22＝ 。
61.因式分解4x2＋4xy＋y2－4x－2y－3＝ 。
62.因式分解9x5－35x3－4x＝ 。
63.因式分解下列各式：
(1)3x2－6x＝ 。
(2)49x2－25＝ 。
(3)6x2－13x＋5＝ 。
(4)x2＋2－3x＝ 。
(5)12x2－23x－24＝ 。
(6)(x＋6)(x－6)－(x－6)＝ 。
(7)3(x＋2)(x－5)－(x＋2)(x－3)＝ 。
(8)9x2＋42x＋49＝ 。
(1)(x＋2)－2(x＋2)2＝ 。
(2)36x2＋39x＋9＝ 。
(3)2x2＋ax－6x－3a＝ 。
(4)22x2－31x－21＝ 。
70.因式分解3ax2－6ax＝ 。
71.因式分解(x＋1)x－5x＝ 。
72.因式分解(2x＋1)(x－3)－(2x＋1)(x－5)＝
73.因式分解xy＋2x－5y－10＝
74.因式分解x2y2－x2－y2－6xy＋4＝
x3＋2x2＋2x＋1
a2b2－a2－b2＋1
(1)3ax2－2x＋3ax－2
(x2－3x)＋(x－3)2＋2x－6
1)(2x＋3)(x－2)＋(x＋1)(2x＋3)
9x2－66x＋121
17.因式分解
(1)8x2－18 (2)x2－(a－b)x－ab
18.因式分解下列各式
(1)9x4＋35x2－4 (2)x2－y2－2yz－z2
(3)a(b2－c2)－c(a2－b2)
19.因式分解(2x＋1)(x＋1)＋(2x＋1)(x－3)
20.因式分解39x2－38x＋8
21.利用因式分解求(6512 )2－(3412 )2之值
22.因式分解a(b2－c2)－c(a2－b2)
24.因式分解7(x－1)2＋4(x－1)(y＋2)－20(y+2)2
25.因式分解xy2－2xy－3x－y2－2y－1
26.因式分解4x2－6ax＋18a2
27.因式分解20a3bc－9a2b2c－20ab3c
28.因式分解2ax2－5x＋2ax－5
29.因式分解4x3＋4x2－25x－25
30.因式分解(1－xy)2－(y－x)2
31.因式分解
(1)mx2－m2－x＋1 (2)a2－2ab＋b2－1
32.因式分解下列各式
(1)5x2－45 (2)81x3－9x (3)x2－y2－5x－5y (4)x2－y2＋2yz－z2
33.因式分解：xy2－2xy－3x－y2－2y－1
34.因式分解y2(x－y)＋z2(y－x)
1)因式分解x2＋x＋y2－y－2xy＝
很高兴能帮到你~~!!我在各个地方找到滴都一点点打到上面了，选我为最佳答案喔
1、(3ab-2a)÷a =a(3b-2)/a=3b-2
2、（x^3-2x^y)÷(-x^2)= x-2y
3、-21a^2b^3÷7a^2b =-3b^2
4、(6a^3b-9a^c)÷3a^2 =3a^2(2ab-3c)/3a^2=2ab-3c
5、(5ax^2+15x)÷5x=5x(a+3x)÷5x =a+3x
6、(a+2b)(a-2b)=a^2-4b^2
7、(3a+b)^2=9a^2+b^2 +12ab
8、(1/2 a-1/3 b)^2 =1/4a^2+1/9b^2-1/18ab
9、(x+5y)(x-7y)=x^2-7x+5x-35y^2=x^2-2x-35y^2
10、(2a+3b)(2a+3b)4a^2+9b^2 ++12ab
11、(x+5)(x-7)=x^2-7x+5x-35=x^2-2x-35
12、5x^3×8x^2 =40x^5
13、-3x×(2x^2-x+4)=-6x^3+3x^2-12x
14、11x^12×(-12x^11)=-132 x^23
15、(x+5)(x+6)=x^2+11x+30
16、(2x+1)(2x+3)=4x^2+6x+2x+4=4x^2+8x+4
17、3x^3y×(2x^2y-3xy)=6x^5y^2-9x4y^2
18、2x×(3x^2-xy+y^2)=6x^3-2x^2y+2xy^2
19、(a^3)^3÷(a^4)^2=a^9/a^8=a
20、(x^2y)^5÷(x^2y)^3 =x^2y)^2
(x+y)^4 -13(x+y)^2 +36
=[(x+y)^2-4][(x+y)^2-9]
=(x+y+2)*(x+y-2)(x+y+3)*(x+y-3)
30、x^3-25x=x(x^2-25)
31、x^3+4x^2+4x=x(x+2)^2
32、(x+2)(x+6)=x^2+8x+12
33、2a×3a^2=6a^3
34、(-2mn^2)^3=-8m^3*n^6
35、（-m+n)(m-n）=-m^2+2mn-n^2
36、27x^8÷3x^4=9x^4
37、(-2x^2)×(-y)+3xy×(1-1/3 x)=2x^2*y+3xy-x^2*y=x^2*y+3xy
38、am-an+ap=a(m-n+p)
39、25x^2+20xy+4y^2=(5x+2y)^2
40、(-4m^4+20m^3n-m^2n^2)÷(-4m^2)=m^2-5mn-1/4n^2
41、(12p^3q^4+20p^3q^2r-6p^4q^3)÷(-2pq)^2=3pq^2+5pr-3/2p^2*q
42、[4y(2x-y)-2x(2x-y)]÷(2x-y)=4y-2x
43、(x^2y^3-1/2 x^3y^2+2x^2y^2)÷1/2 xy^2=2xy-x^2+4x
44、(4a^3b^3-6a^2b^3c-2ab^5)÷(-2ab^2)=-2a^2*b+3abc+b^3
45、（ax+bx)÷x=a+b
46、(ma+mb+mc)÷m=a+b+c
47、(9x^4-15x^2+6x)÷3x=3x^3-5x+2
48、(28a^3b^2c+a^2b^3-14a^2b^2)÷(-7a^2b)=-4abc-1/7b^2+2b
49、(6xy^2)^2÷3xy=12xy ^3
50、24a^3b^2÷3ab^2=8a^2
怎么没人帮我
绛旓細绗竴棰橈細锛1-2鐨勫钩鏂瑰垎涔嬩竴锛=锛1-1/2)*(1+1/2锛=(1/2)*(3/2锛夛紙1-3鐨勫钩鏂瑰垎涔嬩竴锛=锛1-1/3)*(1+1/3锛=(2/3)*(4/3锛夆︹︼紙1-10鐨勫钩鏂瑰垎涔嬩竴锛=锛1-1/10)*(1+1/10锛=(9/10)*(11/10锛夌浉涔樺彲寰楋紙1/2)*(2/3)鈥(9/10)=1/10锛(3/2)*(4/3)鈥(11/...
绛旓細1銆7a(x-y)²-4b(x-y)²=(x-y)²(7a-4b)2銆侀夌涓銆佺浜屼釜鐩稿姞 (a²/2+a-4)+(a²/2+5a+4)=a²/2+a-4+a²/2+5a+4 =a²+6a =a(a+6)
绛旓細姝ら鏄笉鏄湁閿,鎸夌収閬撶悊鍚庨潰杩欎竴椤硅繕鍙互鍐鍒嗚В鐨,鏄叧浜(a-m)鐨勫垎瑙ｅ紡 (4)8x(a-1)-4(1-a)=4(a-1)(2x+1)(5)m(1-a)+mn(1-a)+1-a =(1-a)(m+mn+1)姝ら鏄笉鏄湁閿,鎸夌収閬撶悊鍚庨潰杩欎竴椤硅繕鍙互鍐嶅垎瑙ｇ殑 渚嬪:m+n+mn+1=(m+1)(n+1)(1)16x4-64y4 =16(x^4-4y^...
绛旓細50.鍥犲紡鍒嗚В9x4锛35x2锛4锛(9x^2+1)(x+2)(x-2)51.鍥犲紡鍒嗚В(2x锛1)(x锛1)锛(2x锛1)(x锛3)锛2(x-1)(2x+1)52.鍥犲紡鍒嗚В2ax2锛3x锛2ax锛3锛(x+1)(2ax-3)53.鍥犲紡鍒嗚Вx(y锛2)锛峹锛峺锛1锛(x-1)(y+1)54.鍥犲紡鍒嗚В(x2锛3x)锛(x锛3)2锛(x-3)(2x-3)55.鍥犲紡鍒嗚В...
绛旓細锛坸+1锛(x+2)(x+3)(x+4)+1 =锛坸+1锛(x+4)(x+2)(x+3)+1 =(x^2+5x+4)(x^2+5x+6)+1 浠ヤ笅瀛渚嬮:(璁緓^2+5x=A,鍒 鍘熷紡=(A+4)(A+6)+1 =A^2+10A+25 =(A+5)^2 =(x^2+5x+5)^2 )
绛旓細绗竴閬擄細 (2a-3)^3+a^3 =(2a-3+a)(4a^2+9-6a+a^2-2a^2-3a)=(2a-3+a)(3a^2-9a+9)=3(2a-3+a)(a^2-3a+3)绗簩閬擄細 (7a+8)^3-c^3 =锛7a+8-c锛塠(7a+8)^2+c^2+c(7a+8)]绗笁閬: (1-a^2)(1-b^2)-4ab =(1-a^2-b^2+a^2b^2)-4ab =1+a^...
绛旓細1.a^4-4a+3 2.(a+x)^m+1*(b+x)^n-1-(a+x)^m*(b+x)^n 3.x^2+(a+1/a)xy+y^2 4.9a^2-4b^2+4bc-c^2 5.(c-a)^2-4(b-c)(a-b)绛旀1.鍘熷紡=a^4-a-3a+3=(a-1)(a^3+a^2+a-3)2.[1-(a+x)^m][(b+x)^n-1]3.(ax+y)(1/ax+y)4.9a^2-...
绛旓細1.宸茬煡锛歺+y=1,xy=-1/2,鍒╃敤鍥犲紡鍒嗚В姹傦細x(x+y)(x-y)-(x+y)鐨勫钩鏂圭殑鍊.x(x+y)(x-y)-x(x+y)^2 =x(x+y)(x-y-x-y)=x(x+y)(-2y)=-2xy(x+y)=-2*[-1/2]*1 =1 2.宸茬煡锛歛+b+c=11 姹2a^2+2b^2+2c^2+4ab+4ac+4bc鐨勫 2a^2+2b^2+2c^2+4ab+...
绛旓細11锛鍒嗚В鍥犲紡:(1).x2(y锛峼)锛81(z锛峺) (2).9m2锛6m锛2n锛峮2 锛(3).ab(c2锛媎2)锛媍d(a2锛媌2) (4).a4锛3a2锛4 锛(5).x4锛4y4 锛(6).a2锛2ab锛媌2锛2a锛2b锛1 12锛庡疄鏁拌寖鍥村唴鍥犲紡鍒嗚В 锛1锛墄2锛2x锛4 锛2锛4x2锛8x锛1 锛3锛2x2锛4xy锛媦2 鍒濅簩鏁板鍥犲紡鍒嗚В娴嬭瘯棰 鍒...
绛旓細4.x(x-y)^2-y(y-x)^2 =x(x^2-2xy+y^2)-y(y^2-2xy+x^2)=x^3-2x^2y+xy^2+xy^2-y^3+2xy^2-x^2y =x^3-y^3+3xy^2-3x^2y =(x-y)(x^2+xy+y^2)+3xy(y-x)=(x-y)(x^2-2xy+y^2)=(x-y)^3 5.m(a^2+b^2)+n(a^2+b^2)=(m+n)(a^2+b^2...
