分解因式数学题 给我50道 八年级上的 给我初二数学因式分解练习题50道
\u5206\u89e3\u56e0\u5f0f\u6570\u5b66\u9898 \u7ed9\u621150\u9053 \u516b\u5e74\u7ea7\u4e0a\u76841.\u628a\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f
\uff081\uff0912a3b2\uff0d9a2b+3ab;
\uff082\uff09a\uff08x+y\uff09\uff0d\uff08a\uff0db\uff09\uff08x+y\uff09;
\uff083\uff09121x2\uff0d144y2;
\uff084\uff094\uff08a\uff0db\uff092\uff0d\uff08x\uff0dy\uff092;
\uff085\uff09\uff08x\uff0d2\uff092+10\uff08x\uff0d2\uff09+25;
\uff086\uff09a3\uff08x+y\uff092\uff0d4a3c2.
2.\u7528\u7b80\u4fbf\u65b9\u6cd5\u8ba1\u7b97
\uff081\uff096.42\uff0d3.62;
\uff082\uff0921042\uff0d1042
\uff083\uff091.42\u00d79\uff0d2.32\u00d736
\u7b2c\u4e8c\u7ae0 \u5206\u89e3\u56e0\u5f0f\u7efc\u5408\u7ec3\u4e60
\u4e00\u3001\u9009\u62e9\u9898
1.\u4e0b\u5217\u5404\u5f0f\u4e2d\u4ece\u5de6\u5230\u53f3\u7684\u53d8\u5f62\uff0c\u662f\u56e0\u5f0f\u5206\u89e3\u7684\u662f\uff08 \uff09
(A)(a+3)(a-3)=a2-9 (B)x2+x-5=(x-2)(x+3)+1
(C)a2b+ab2=ab(a+b) (D)x2+1=x(x+ )
2.\u4e0b\u5217\u5404\u5f0f\u7684\u56e0\u5f0f\u5206\u89e3\u4e2d\u6b63\u786e\u7684\u662f\uff08 \uff09
(A)-a2+ab-ac= -a(a+b-c) (B)9xyz-6x2y2=3xyz(3-2xy)
(C)3a2x-6bx+3x=3x(a2-2b) (D) xy2+ x2y= xy(x+y)
3.\u628a\u591a\u9879\u5f0fm2(a-2)+m(2-a)\u5206\u89e3\u56e0\u5f0f\u7b49\u4e8e\uff08 \uff09
(A)(a-2)(m2+m) (B)(a-2)(m2-m) (C)m(a-2)(m-1) (D)m(a-2)(m+1)
4.\u4e0b\u5217\u591a\u9879\u5f0f\u80fd\u5206\u89e3\u56e0\u5f0f\u7684\u662f\uff08 \uff09
(A)x2-y (B)x2+1 (C)x2+y+y2 (D)x2-4x+4
5.\u4e0b\u5217\u591a\u9879\u5f0f\u4e2d\uff0c\u4e0d\u80fd\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u5206\u89e3\u56e0\u5f0f\u7684\u662f\uff08 \uff09
(A) (B) (C) (D)
6.\u591a\u9879\u5f0f4x2+1\u52a0\u4e0a\u4e00\u4e2a\u5355\u9879\u5f0f\u540e\uff0c\u4f7f\u5b83\u80fd\u6210\u4e3a\u4e00\u4e2a\u6574\u5f0f\u7684\u5b8c\u5168\u5e73\u65b9\uff0c\u5219\u52a0\u4e0a\u7684\u5355\u9879\u5f0f\u4e0d\u53ef\u4ee5\u662f\uff08 \uff09
(A)4x (B)-4x (C)4x4 (D)-4x4
7.\u4e0b\u5217\u5206\u89e3\u56e0\u5f0f\u9519\u8bef\u7684\u662f\uff08 \uff09
(A)15a2+5a=5a(3a+1) (B)-x2-y2= -(x2-y2)= -(x+y)(x-y)
(C)k(x+y)+x+y=(k+1)(x+y) (D)a3-2a2+a=a(a-1)2
8.\u4e0b\u5217\u591a\u9879\u5f0f\u4e2d\u4e0d\u80fd\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u5206\u89e3\u7684\u662f\uff08 \uff09
(A)-a2+b2 (B)-x2-y2 (C)49x2y2-z2 (D)16m4-25n2p2
9.\u4e0b\u5217\u591a\u9879\u5f0f\uff1a\u246016x5-x\uff1b\u2461(x-1)2-4(x-1)+4\uff1b\u2462(x+1)4-4x(x+1)+4x2\uff1b\u2463-4x2-1+4x\uff0c\u5206\u89e3\u56e0\u5f0f\u540e\uff0c\u7ed3\u679c\u542b\u6709\u76f8\u540c\u56e0\u5f0f\u7684\u662f\uff08 \uff09
(A)\u2460\u2461 (B)\u2461\u2463 (C)\u2462\u2463 (D)\u2461\u2462
10.\u4e24\u4e2a\u8fde\u7eed\u7684\u5947\u6570\u7684\u5e73\u65b9\u5dee\u603b\u53ef\u4ee5\u88ab k\u6574\u9664\uff0c\u5219k\u7b49\u4e8e\uff08 \uff09
(A)4 (B)8 (C)4\u6216-4 (D)8\u7684\u500d\u6570
\u4e8c\u3001\u586b\u7a7a\u9898
11.\u5206\u89e3\u56e0\u5f0f\uff1am3-4m= .
12.\u5df2\u77e5x+y=6\uff0cxy=4\uff0c\u5219x2y+xy2\u7684\u503c\u4e3a .
13.\u5c06xn-yn\u5206\u89e3\u56e0\u5f0f\u7684\u7ed3\u679c\u4e3a(x2+y2)(x+y)(x-y)\uff0c\u5219n\u7684\u503c\u4e3a .
14.\u82e5ax2+24x+b=(mx-3)2\uff0c\u5219a= \uff0cb= \uff0cm= . (\u7b2c15\u9898\u56fe)
15.\u89c2\u5bdf\u56fe\u5f62\uff0c\u6839\u636e\u56fe\u5f62\u9762\u79ef\u7684\u5173\u7cfb\uff0c\u4e0d\u9700\u8981\u8fde\u5176\u4ed6\u7684\u7ebf\uff0c\u4fbf\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u7528\u6765\u5206\u89e3\u56e0\u5f0f\u7684\u516c\u5f0f\uff0c\u8fd9\u4e2a\u516c\u5f0f\u662f .
\u4e09\u3001(\u6bcf\u5c0f\u98986\u5206\uff0c\u517124\u5206)
16.\u5206\u89e3\u56e0\u5f0f\uff1a(1)-4x3+16x2-26x (2) a2(x-2a)2- a(2a-x)3
\uff083\uff0956x3yz+14x2y2z\uff0d21xy2z2 (4)mn(m\uff0dn)\uff0dm(n\uff0dm)
17.\u5206\u89e3\u56e0\u5f0f\uff1a(1) 4xy\u2013(x2-4y2) (2)- (2a-b)2+4(a - b)2
18.\u5206\u89e3\u56e0\u5f0f\uff1a(1)-3ma3+6ma2-12ma (2) a2(x-y)+b2(y-x)
19\u3001\u5206\u89e3\u56e0\u5f0f
\uff081\uff09 \uff1b \uff082\uff09 \uff1b
\uff083\uff09 \uff1b
20.\u5206\u89e3\u56e0\u5f0f\uff1a(1) ax2y2+2axy+2a (2)(x2-6x)2+18(x2-6x)+81 (3) \u20132x2n-4xn
21\uff0e\u5c06\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f\uff1a
\uff081\uff09 \uff1b \uff082\uff09 \uff1b \uff083\uff09 \uff1b
22\uff0e\u5206\u89e3\u56e0\u5f0f\uff081\uff09 \uff1b \uff082\uff09 \uff1b
23.\u7528\u7b80\u4fbf\u65b9\u6cd5\u8ba1\u7b97\uff1a
(1)57.6\u00d71.6+28.8\u00d736.8-14.4\u00d780 (2)39\u00d737-13\u00d734
\uff083\uff09\uff0e13.7
24\uff0e\u8bd5\u8bf4\u660e\uff1a\u4e24\u4e2a\u8fde\u7eed\u5947\u6570\u7684\u5e73\u65b9\u5dee\u662f\u8fd9\u4e24\u4e2a\u8fde\u7eed\u5947\u6570\u548c\u76842\u500d\u3002
25\uff0e\u5982\u56fe\uff0c\u5728\u4e00\u5757\u8fb9\u957f\u4e3aa\u5398\u7c73\u7684\u6b63\u65b9\u5f62\u7eb8\u677f\u56db\u89d2\uff0c\u5404\u526a\u53bb\u4e00\u4e2a\u8fb9\u957f\u4e3a b(b< )\u5398\u7c73\u7684\u6b63\u65b9\u5f62\uff0c\u5229\u7528\u56e0\u5f0f\u5206\u89e3\u8ba1\u7b97\u5f53a=13.2\uff0cb=3.4\u65f6\uff0c\u5269\u4f59\u90e8\u5206\u7684\u9762\u79ef\u3002
26\uff0e\u5c06\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f
\uff081\uff09
\uff082\uff09 \uff1b
(3) (4)
(5)
(6)
(7) (8)
(9) \uff0810\uff09(x2+y2)2-4x2y2
\uff0812\uff09\uff0ex6n+2+2x3n+2+x2 \uff0813\uff09\uff0e9(a+1)2(a-1)2-6(a2-1)(b2-1)+(b+1)2(b-1)2
27.\u5df2\u77e5(4x-2y-1)2+ =0\uff0c\u6c424x2y-4x2y2+xy2\u7684\u503c.
28\uff0e\u5df2\u77e5\uff1aa=10000\uff0cb=9999\uff0c\u6c42a2+b2\uff0d2ab\uff0d6a+6b+9\u7684\u503c\u3002
29\uff0e\u8bc1\u660e58-1\u89e3\u88ab20\u223d30\u4e4b\u95f4\u7684\u4e24\u4e2a\u6574\u6570\u6574\u9664
30.\u5199\u4e00\u4e2a\u591a\u9879\u5f0f\uff0c\u518d\u628a\u5b83\u5206\u89e3\u56e0\u5f0f(\u8981\u6c42\uff1a\u591a\u9879\u5f0f\u542b\u6709\u5b57\u6bcdm\u548cn\uff0c\u7cfb\u6570\u3001\u6b21\u6570\u4e0d\u9650\uff0c\u5e76\u80fd\u5148\u7528\u63d0\u53d6\u516c\u56e0\u5f0f\u6cd5\u518d\u7528\u516c\u5f0f\u6cd5\u5206\u89e3).
31.\u89c2\u5bdf\u4e0b\u5217\u5404\u5f0f\uff1a
12+(1\u00d72)2+22=9=32
22+(2\u00d73)2+32=49=72
32+(3\u00d74)2+42=169=132
\u2026\u2026
\u4f60\u53d1\u73b0\u4e86\u4ec0\u4e48\u89c4\u5f8b\uff1f\u8bf7\u7528\u542b\u6709n(n\u4e3a\u6b63\u6574\u6570)\u7684\u7b49\u5f0f\u8868\u793a\u51fa\u6765\uff0c\u5e76\u8bf4\u660e\u5176\u4e2d\u7684\u9053\u7406.
32.\u9605\u8bfb\u4e0b\u5217\u56e0\u5f0f\u5206\u89e3\u7684\u8fc7\u7a0b\uff0c\u518d\u56de\u7b54\u6240\u63d0\u51fa\u7684\u95ee\u9898\uff1a
1+x+x(x+1)+x(x+1)2=(1+x)[1+x+x(x+1)]
=(1+x)2(1+x)
=(1+x)3
(1)\u4e0a\u8ff0\u5206\u89e3\u56e0\u5f0f\u7684\u65b9\u6cd5\u662f \uff0c\u5171\u5e94\u7528\u4e86 \u6b21.
(2)\u82e5\u5206\u89e31+x+x(x+1)+x(x+1)2+\u2026+ x(x+1)2004\uff0c\u5219\u9700\u5e94\u7528\u4e0a\u8ff0\u65b9\u6cd5 \u6b21\uff0c\u7ed3\u679c\u662f .
(3)\u5206\u89e3\u56e0\u5f0f\uff1a1+x+x(x+1)+x(x+1)2+\u2026+ x(x+1)n(n\u4e3a\u6b63\u6574\u6570).
34\uff0e\u82e5a\u3001b\u3001c\u4e3a\u25b3ABC\u7684\u4e09\u8fb9\uff0c\u4e14\u6ee1\u8db3a2+b2+c2\uff0dab\uff0dbc\uff0dca=0\u3002\u63a2\u7d22\u25b3ABC\u7684\u5f62\u72b6\uff0c\u5e76\u8bf4\u660e\u7406\u7531\u3002
35\uff0e\u9605\u8bfb\u4e0b\u5217\u8ba1\u7b97\u8fc7\u7a0b\uff1a
99\u00d799+199=992+2\u00d799+1=\uff0899+1\uff092=100 2=10 4
1\uff0e\u8ba1\u7b97\uff1a
999\u00d7999+1999=____________=_______________=_____________=_____________\uff1b
9999\u00d79999+19999=__________=_______________=______________=_______________\u3002
2\uff0e\u731c\u60f39999999999\u00d79999999999+19999999999\u7b49\u4e8e\u591a\u5c11\uff1f\u5199\u51fa\u8ba1\u7b97\u8fc7\u7a0b\u3002
36.\u6709\u82e5\u5e72\u4e2a\u5927\u5c0f\u76f8\u540c\u7684\u5c0f\u7403\u4e00\u4e2a\u6328\u4e00\u4e2a\u6446\u653e\uff0c\u521a\u597d\u6446\u6210\u4e00\u4e2a\u7b49\u8fb9\u4e09\u89d2\u5f62(\u5982\u56fe1)\uff1b\u5c06\u8fd9\u4e9b\u5c0f\u7403\u6362\u4e00\u79cd\u6446\u6cd5\uff0c\u4ecd\u4e00\u4e2a\u6328\u4e00\u4e2a\u6446\u653e\uff0c\u53c8\u521a\u597d\u6446\u6210\u4e00\u4e2a\u6b63\u65b9\u5f62(\u5982\u56fe2).\u8bd5\u95ee\uff1a\u8fd9\u79cd\u5c0f\u7403\u6700\u5c11\u6709\u591a\u5c11\u4e2a\uff1f
(1)-6ax3y+8x2y2-2x2y
(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 \u6216m3-64n3
(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)]
\u6b64\u9898\u662f\u4e0d\u662f\u6709\u9519,\u6309\u7167\u9053\u7406\u540e\u9762\u8fd9\u4e00\u9879\u8fd8\u53ef\u4ee5\u518d\u5206\u89e3\u7684,\u662f\u5173\u4e8e(a-m)\u7684\u5206\u89e3\u5f0f
(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)
\u6b64\u9898\u662f\u4e0d\u662f\u6709\u9519,\u6309\u7167\u9053\u7406\u540e\u9762\u8fd9\u4e00\u9879\u8fd8\u53ef\u4ee5\u518d\u5206\u89e3\u7684
\u4f8b\u5982: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)
\u6216m3-64n3
=(m-4n)(m^2+4mn+16n^2)
1- 14 x2
4x \u20132 x2 \u2013 2
( x- y )3 \u2013(y- x)
x2 \u2013y2 \u2013 x + y
x2 \u2013y2 \uff0d1 ( x + y) (x \u2013 y )
x2 + 1 x2 \uff0d2\uff0d\uff08 x \uff0d1x )2
a3\uff0da2\uff0d2a
4m2\uff0d9n2\uff0d4m+1
3a2+bc\uff0d3ac-ab
9\uff0dx2+2xy\uff0dy2
2x2\uff0d3x\uff0d1
\uff0d2x2+5xy+2y2
10a(x\uff0dy)2\uff0d5b(y\uff0dx)
an+1\uff0d4an\uff0b4an-1
x3(2x\uff0dy)\uff0d2x\uff0by
x(6x\uff0d1)\uff0d1
2ax\uff0d10ay\uff0b5by\uff0b6x
1\uff0da2\uff0dab\uff0d14 b2
a4\uff0b4
(x2\uff0bx)(x2\uff0bx\uff0d3)\uff0b2
x5y\uff0d9xy5
\uff0d4x2\uff0b3xy\uff0b2y2
4a\uff0da5
2x2\uff0d4x\uff0b1
4y2\uff0b4y\uff0d5
3X2\uff0d7X+2
8xy(x\uff0dy)\uff0d2(y\uff0dx)3
x6\uff0dy6
x3\uff0b2xy\uff0dx\uff0dxy2
(x\uff0by)(x\uff0by\uff0d1)\uff0d12
4ab\uff0d\uff081\uff0da2\uff09\uff081\uff0db2\uff09
\uff0d3m2\uff0d2m\uff0b4
a2\uff0da\uff0d6
2(y\uff0dz)\uff0b81(z\uff0dy)
9m2\uff0d6m\uff0b2n\uff0dn2
ab(c2\uff0bd2)\uff0bcd(a2\uff0bb2)
a4\uff0d3a2\uff0d4
x4\uff0b4y4
a2\uff0b2ab\uff0bb2\uff0d2a\uff0d2b\uff0b1
x2\uff0d2x\uff0d4
4x2\uff0b8x\uff0d1
2x2\uff0b4xy\uff0by2
- m2 \u2013 n2 + 2mn + 1
(a + b)3d \u2013 4(a + b)2cd+4(a + b)c2d
(x + a)2 \u2013 (x \u2013 a)2
\u2013x5y \u2013 xy +2x3y
x6 \u2013 x4 \u2013 x2 + 1
(x +3) (x +2) +x2 \u2013 9
(x \u2013y)3 +9(x \u2013 y) \u20136(x \u2013 y)2
(a2 + b2 \u20131 )2 \u2013 4a2b2
(ax + by)2 + (bx \u2013 ay)2
x2 + 2ax \u2013 3a2
3a3b2c\uff0d6a2b2c2\uff0b9ab2c3
xy\uff0b6\uff0d2x\uff0d3y
x2(x\uff0dy)\uff0by2(y\uff0dx)
2x2\uff0d(a\uff0d2b)x\uff0dab
a4\uff0d9a2b2
ab(x2\uff0dy2)\uff0bxy(a2\uff0db2)
(x\uff0by)(a\uff0db\uff0dc)\uff0b(x\uff0dy)(b\uff0bc\uff0da)
a2\uff0da\uff0db2\uff0db
(3a\uff0db)2\uff0d4(3a\uff0db)(a\uff0b3b)\uff0b4(a\uff0b3b)2
(a\uff0b3)2\uff0d6(a\uff0b3)
(x\uff0b1)2(x\uff0b2)\uff0d(x\uff0b1)(x\uff0b2)2
35.\u56e0\u5f0f\u5206\u89e3x2\uff0d25\uff1d \u3002
36.\u56e0\u5f0f\u5206\u89e3x2\uff0d20x\uff0b100\uff1d \u3002
37.\u56e0\u5f0f\u5206\u89e3x2\uff0b4x\uff0b3\uff1d \u3002
38.\u56e0\u5f0f\u5206\u89e34x2\uff0d12x\uff0b5\uff1d \u3002
39.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f\uff1a
(1)3ax2\uff0d6ax\uff1d \u3002
(2)x(x\uff0b2)\uff0dx\uff1d \u3002
(3)x2\uff0d4x\uff0dax\uff0b4a\uff1d \u3002
(4)25x2\uff0d49\uff1d \u3002
(5)36x2\uff0d60x\uff0b25\uff1d \u3002
(6)4x2\uff0b12x\uff0b9\uff1d \u3002
(7)x2\uff0d9x\uff0b18\uff1d \u3002
(8)2x2\uff0d5x\uff0d3\uff1d \u3002
(9)12x2\uff0d50x\uff0b8\uff1d \u3002
40.\u56e0\u5f0f\u5206\u89e3(x\uff0b2)(x\uff0d3)\uff0b(x\uff0b2)(x\uff0b4)\uff1d \u3002
41.\u56e0\u5f0f\u5206\u89e32ax2\uff0d3x\uff0b2ax\uff0d3\uff1d \u3002
42.\u56e0\u5f0f\u5206\u89e39x2\uff0d66x\uff0b121\uff1d \u3002
43.\u56e0\u5f0f\u5206\u89e38\uff0d2x2\uff1d \u3002
44.\u56e0\u5f0f\u5206\u89e3x2\uff0dx\uff0b14 \uff1d \u3002
45.\u56e0\u5f0f\u5206\u89e39x2\uff0d30x\uff0b25\uff1d \u3002
46.\u56e0\u5f0f\u5206\u89e3\uff0d20x2\uff0b9x\uff0b20\uff1d \u3002
47.\u56e0\u5f0f\u5206\u89e312x2\uff0d29x\uff0b15\uff1d \u3002
48.\u56e0\u5f0f\u5206\u89e336x2\uff0b39x\uff0b9\uff1d \u3002
49.\u56e0\u5f0f\u5206\u89e321x2\uff0d31x\uff0d22\uff1d \u3002
50.\u56e0\u5f0f\u5206\u89e39x4\uff0d35x2\uff0d4\uff1d \u3002
51.\u56e0\u5f0f\u5206\u89e3(2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)\uff1d \u3002
52.\u56e0\u5f0f\u5206\u89e32ax2\uff0d3x\uff0b2ax\uff0d3\uff1d \u3002
53.\u56e0\u5f0f\u5206\u89e3x(y\uff0b2)\uff0dx\uff0dy\uff0d1\uff1d \u3002
54.\u56e0\u5f0f\u5206\u89e3(x2\uff0d3x)\uff0b(x\uff0d3)2\uff1d \u3002
55.\u56e0\u5f0f\u5206\u89e39x2\uff0d66x\uff0b121\uff1d \u3002
56.\u56e0\u5f0f\u5206\u89e38\uff0d2x2\uff1d \u3002
57.\u56e0\u5f0f\u5206\u89e3x4\uff0d1\uff1d \u3002
58.\u56e0\u5f0f\u5206\u89e3x2\uff0b4x\uff0dxy\uff0d2y\uff0b4\uff1d \u3002
59.\u56e0\u5f0f\u5206\u89e34x2\uff0d12x\uff0b5\uff1d \u3002
60.\u56e0\u5f0f\u5206\u89e321x2\uff0d31x\uff0d22\uff1d \u3002
61.\u56e0\u5f0f\u5206\u89e34x2\uff0b4xy\uff0by2\uff0d4x\uff0d2y\uff0d3\uff1d \u3002
62.\u56e0\u5f0f\u5206\u89e39x5\uff0d35x3\uff0d4x\uff1d \u3002
63.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f\uff1a
(1)3x2\uff0d6x\uff1d \u3002
(2)49x2\uff0d25\uff1d \u3002
(3)6x2\uff0d13x\uff0b5\uff1d \u3002
(4)x2\uff0b2\uff0d3x\uff1d \u3002
(5)12x2\uff0d23x\uff0d24\uff1d \u3002
(6)(x\uff0b6)(x\uff0d6)\uff0d(x\uff0d6)\uff1d \u3002
(7)3(x\uff0b2)(x\uff0d5)\uff0d(x\uff0b2)(x\uff0d3)\uff1d \u3002
(8)9x2\uff0b42x\uff0b49\uff1d \u3002
(1)(x\uff0b2)\uff0d2(x\uff0b2)2\uff1d \u3002
(2)36x2\uff0b39x\uff0b9\uff1d \u3002
(3)2x2\uff0bax\uff0d6x\uff0d3a\uff1d \u3002
(4)22x2\uff0d31x\uff0d21\uff1d \u3002
70.\u56e0\u5f0f\u5206\u89e33ax2\uff0d6ax\uff1d \u3002
71.\u56e0\u5f0f\u5206\u89e3(x\uff0b1)x\uff0d5x\uff1d \u3002
72.\u56e0\u5f0f\u5206\u89e3(2x\uff0b1)(x\uff0d3)\uff0d(2x\uff0b1)(x\uff0d5)\uff1d
73.\u56e0\u5f0f\u5206\u89e3xy\uff0b2x\uff0d5y\uff0d10\uff1d
74.\u56e0\u5f0f\u5206\u89e3x2y2\uff0dx2\uff0dy2\uff0d6xy\uff0b4\uff1d
x3\uff0b2x2\uff0b2x\uff0b1
a2b2\uff0da2\uff0db2\uff0b1
(1)3ax2\uff0d2x\uff0b3ax\uff0d2
(x2\uff0d3x)\uff0b(x\uff0d3)2\uff0b2x\uff0d6
1)(2x\uff0b3)(x\uff0d2)\uff0b(x\uff0b1)(2x\uff0b3)
9x2\uff0d66x\uff0b121
17.\u56e0\u5f0f\u5206\u89e3
(1)8x2\uff0d18 (2)x2\uff0d(a\uff0db)x\uff0dab
18.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f
(1)9x4\uff0b35x2\uff0d4 (2)x2\uff0dy2\uff0d2yz\uff0dz2
(3)a(b2\uff0dc2)\uff0dc(a2\uff0db2)
19.\u56e0\u5f0f\u5206\u89e3(2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)
20.\u56e0\u5f0f\u5206\u89e339x2\uff0d38x\uff0b8
21.\u5229\u7528\u56e0\u5f0f\u5206\u89e3\u6c42(6512 )2\uff0d(3412 )2\u4e4b\u503c
22.\u56e0\u5f0f\u5206\u89e3a(b2\uff0dc2)\uff0dc(a2\uff0db2)
24.\u56e0\u5f0f\u5206\u89e37(x\uff0d1)2\uff0b4(x\uff0d1)(y\uff0b2)\uff0d20(y+2)2
25.\u56e0\u5f0f\u5206\u89e3xy2\uff0d2xy\uff0d3x\uff0dy2\uff0d2y\uff0d1
26.\u56e0\u5f0f\u5206\u89e34x2\uff0d6ax\uff0b18a2
27.\u56e0\u5f0f\u5206\u89e320a3bc\uff0d9a2b2c\uff0d20ab3c
28.\u56e0\u5f0f\u5206\u89e32ax2\uff0d5x\uff0b2ax\uff0d5
29.\u56e0\u5f0f\u5206\u89e34x3\uff0b4x2\uff0d25x\uff0d25
30.\u56e0\u5f0f\u5206\u89e3(1\uff0dxy)2\uff0d(y\uff0dx)2
31.\u56e0\u5f0f\u5206\u89e3
(1)mx2\uff0dm2\uff0dx\uff0b1 (2)a2\uff0d2ab\uff0bb2\uff0d1
32.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f
(1)5x2\uff0d45 (2)81x3\uff0d9x (3)x2\uff0dy2\uff0d5x\uff0d5y (4)x2\uff0dy2\uff0b2yz\uff0dz2
33.\u56e0\u5f0f\u5206\u89e3\uff1axy2\uff0d2xy\uff0d3x\uff0dy2\uff0d2y\uff0d1
34.\u56e0\u5f0f\u5206\u89e3y2(x\uff0dy)\uff0bz2(y\uff0dx)
1)\u56e0\u5f0f\u5206\u89e3x2\uff0bx\uff0by2\uff0dy\uff0d2xy\uff1d
\u5f88\u9ad8\u5174\u80fd\u5e2e\u5230\u4f60~~!!\u6211\u5728\u5404\u4e2a\u5730\u65b9\u627e\u5230\u6ef4\u90fd\u4e00\u70b9\u70b9\u6253\u5230\u4e0a\u9762\u4e86\uff0c\u9009\u6211\u4e3a\u6700\u4f73\u7b54\u6848\u5594
2.9-Y的平方=(3+y)(3-y)
3.1-a的平方=(1+a)(1-a)
4.4X的平方-Y的平方=(2x+y)(2x-y)
5.a的平方-9分之一X的平方=(a+1/3x)(a-1/3x)
6.36-m的平方=(6+m)(6-m)
7.4X的平方-9Y的平方=(3x+2y)(3x-2y)
8.0.81a的平方-16b=(0.9a+4b)(0.9a-4b)
9.36n的平方-1=(6n+1)(6n-1)
10.25p的平方-49q的平方=(5p+7q)(5p-7q)
11.4a的平方-（b+c）的平方=2a+b+c)(2a-b-c)
12.（3m+2n)的平方-（m-n)的平方=(4m+n)(2m+3n)
13.2ab的三次方-2ab=2ab(2ab+1)(2ab-1)
14.X的三次方-16X=x(x+4)(x-4)
15.1-a的四次方(1+a²）(1+a)(1-a)
16.-X的四次方+16=(4+x²)(2+x)(2-x)
17.4（2p+3q)的平方-（3p-q)的平方=(7p+5q)(p+7q)
18.（X的平方+y的平方)的平方-X的平方Y的平方=(x²+y²+xy)(x²+y²-xy)
19.X的平方+2X+1=(x+1)²
20.4a的平方4a+1=（2a+1)²
21.1-6y+9y的平方=(1-3y)²
22.1+m+4分之m的平方=(1+1/2m)²
23.X的平方-12xy+36y的平方=(x-6y)²
24.25p的平方+10pq+q的平方=(5p+q)²
25.9分之m的平方+3分之mn+n的平方=(m/3+n)²
26.a的平方-14ab+49b的平方=(a-7b)²
27.16a的四次方+24a的平方b的平方+9b的四次方=(4a²+3b²)²
28.（x+y)的平方-10（x+y)+25=(x+y-5)²
29.-2xy-x的平方-y的平方=-(x+y)²
30.ax的平方+2a的平方X+a的三次方=a(x+a)²
31.nx-ny=n(x-y)
32.a的平方+ab=a(a+b)
33.4x的三次方-6x的平方=2x²(2x-3)
34.8m的平方n+2mn=2mn(4m+1)
35.3a的平方y-3ay+6y=3y(a²-a+2)
36.a的平方b-5ab+9b=b(a²-5a+9)
37.-x的平方+xy-xz=-x(x-y+z)
38.-24x的平方-12xy的平方+28y第三次方=-4(6x²+3xy²-7y³）
39.a(x+y)+b(x+y)＝（x＋y）（a＋b）
40.6(p+q)的平方-2(p+q)＝2（p＋q）（3p＋3q－1）
42,m(a-b)-n(b-a)＝（a－b）（m＋n）
43.3(y-x)的平方+2(x-y）＝（x－y）（3x－3y＋2）
44.m(m-n)的平方-n(n-m)的平方＝（m－n）³
45.mn（m-n)-m(n-m)的平方＝m（m－n）（n＋1）
46.2x(x+y)的平方-(x+y)的立方＝（x＋y）²（x－y）
47.p(a的平方+b的平方)+q(a的平方+b的平方)（a²＋b²）（p＋q）
48.2a(y-z)-3b(y-z)＝（y－z）（2a－3b）
二.因式分解
1.81a的四次方-b的四次方＝（9a²＋b²）（3a＋b）（3a－b）
2.8Y的四次方-2Y的平方＝2y²（2y＋1）（2y－1）
3.3ax的平方-3ay的四次方＝3a（x＋y²）（x－y²）
4.m的四次方-1＝（m²＋1）（m＋1）（m－1）
5.25a的四次方-40a的平方b的平方+16b的四次方＝（5a²－4b²）²
6.36X的四次方-12x的平方+y的平方=(6x²-y)²
7.a的平方b的平方-4ab+4=(ab-2)²
8.16-8xy+x的平方y的平方=(4-xy)²
9.(x+y）的平方+6(x+y)+9=(x+y+3)²
10.a的平方-2a(b+c)+(b+c)的平方=(a-b-c)²
11.4-12（x-y)+9(x-y)的平方=(4-3x+3y)²
12.（m+n)的平方+4m(m+n)+4m的平方=(3m+n)²
13.2xy-x的平方-y的平方=-(x-y)²
14.4xy的平方-4x的平方y-y的三次方=y(2x-y)²
15.3-6x+3x的平方=3(x-1)²
16.-a+2a的平方-a的三次方=-a(a-1)²
三.把下列各式先因式分解，再求值。
1、5x(m-2)-4x(m-2)，其中x=-0.4,m=5.5
=x(m-2)
当x=-0.4,m=5.5时
原式=-0.4（5.5-2）
=1.4
2、4a的平方(x+7)-3a的平方(x+7),其中a=-5，x=3
=a ²（x+7)
当 a=-5，x=3 时
原式=（-5）²（3+7）
=250.
马克一下！
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