急求！！30个因式分解的题目,平方差,完全，特殊三种公式题目各十个！！题目答案都要有！十分感谢！！ 数学 平方差公式和完全平方公式 因式分解 各十题
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a²x²+ax-42
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1\u3001\u5e73\u65b9\u5dee\u516c\u5f0fa²-b²=\uff08a+b\uff09\uff08a-b\uff09
2\u3001\u5b8c\u5168\u5e73\u65b9\u516c\u5f0fa²\u00b12ab+b²=\uff08a\u00b1b\uff09²
3\u56e0\u5f0f\u5206\u89e3\u7f16\u8f91
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2\uff0e\u6700\u540e\u7ed3\u679c\u53ea\u6709\u5c0f\u62ec\u53f7
3\uff0e\u6700\u540e\u7ed3\u679c\u4e2d\u591a\u9879\u5f0f\u9996\u9879\u7cfb\u6570\u4e3a\u6b63\uff08\u4f8b\u5982\uff1a-3x2+x=x(-3x+1)\uff09\u4e0d\u4e00\u5b9a\u9996\u9879\u4e00\u5b9a\u4e3a\u6b63\uff0c\u5982-2x-3xy-4xz=
-x(2+3y+4z)
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1\uff0e\u63d0\u516c\u56e0\u5f0f\u6cd5\u3002
2\uff0e\u8fd0\u7528\u516c\u5f0f\u6cd5\u3002
3\uff0e\u62fc\u51d1\u6cd5\u3002
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\u7acb\u65b9\u548c\u516c\u5f0f\uff1aa3+b3=(a+b)(a2-ab+b2)
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\u4f8b\u5982\uff1aa2+4ab+4b2 =(a+2b)2
1\uff0e\u5206\u89e3\u56e0\u5f0f\u6280\u5de7\u638c\u63e1\uff1a
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2\uff0e\u63d0\u516c\u56e0\u5f0f\u6cd5\u57fa\u672c\u6b65\u9aa4\uff1a
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X2+2X+1=0 ,\u89e3\uff0c\u5f97X1=-1\uff0cX2=-1\uff0c\u5c31\u5f97\u5230\u539f\u5f0f=\uff08X+1\uff09\u00d7\uff08X+1\uff09
4\u5206\u89e3\u65b9\u6cd5\u7f16\u8f91
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\u6bd4\u5982\uff1a
ax+ay+bx+by
=a(x+y)+b(x+y)
=(a+b)(x+y)
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\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\uff0e 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\uff0e 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
\u4e09\u4e00\u5206\u6cd5\uff0c\u4f8b\uff1aa^2-b^2-2bc-c^2
=a^2-(b+c)^2
=(a-b-c)(a+b+c)
\u5341\u5b57\u76f8\u4e58\u6cd5
\u5341\u5b57\u76f8\u4e58\u6cd5\u5728\u89e3\u9898\u65f6\u662f\u4e00\u4e2a\u5f88\u597d\u7528\u7684\u65b9\u6cd5\uff0c\u4e5f\u5f88\u7b80\u5355\u3002
\u8fd9\u79cd\u65b9\u6cd5\u6709\u4e24\u79cd\u60c5\u51b5\u3002
\u2460x2+(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\uff1ax2+(p+q)x+pq=(x+p)(x+q) \uff0e
\u4f8b1\uff1ax2-2x-8
=(x-4)(x+2)
\u2461kx2+mx+n\u578b\u7684\u5f0f\u5b50\u7684\u56e0\u5f0f\u5206\u89e3
\u5982\u679c\u6709k=ab\uff0cn=cd\uff0c\u4e14\u6709ad+bc=m\u65f6\uff0c\u90a3\u4e48kx2+mx+n=(ax+c)(bx+d)\uff0e
\u4f8b2\uff1a\u5206\u89e37x2-19x-6
\u56fe\u793a\u5982\u4e0b\uff1aa=7 b=1 c=2 d=-3
\u56e0\u4e3a\u3000-3\u00d77=-21\uff0c1\u00d72=2\uff0c\u4e14-21+2=-19\uff0c
\u6240\u4ee5\uff0c\u539f\u5f0f=(7x+2)(x-3)\uff0e
\u5341\u5b57\u76f8\u4e58\u6cd5\u53e3\u8bc0\uff1a\u5206\u4e8c\u6b21\u9879\uff0c\u5206\u5e38\u6570\u9879\uff0c\u4ea4\u53c9\u76f8\u4e58\u6c42\u548c\u5f97\u4e00\u6b21\u9879\u3002
\u4f8b3\uff1a6X2+7X+2
\u7b2c1\u9879\u4e8c\u6b21\u9879\uff086X2\uff09\u62c6\u5206\u4e3a\uff1a2\u00d73
\u7b2c3\u9879\u5e38\u6570\u9879\uff082\uff09\u62c6\u5206\u4e3a\uff1a1\u00d72
2\uff08X\uff09\u30003\uff08X\uff09
1\u30002
\u5bf9\u89d2\u76f8\u4e58\uff1a1\u00d73+2\u00d72\u5f97\u7b2c2\u9879\u4e00\u6b21\u9879\uff087X\uff09
\u7eb5\u5411\u76f8\u4e58\uff0c\u6a2a\u5411\u76f8\u52a0\u3002
\u5341\u5b57\u76f8\u4e58\u6cd5\u5224\u5b9a\u5b9a\u7406\uff1a\u82e5\u6709\u5f0f\u5b50ax2+bx+c\uff0c\u82e5b2-4ac\u4e3a\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u5219\u6b64\u5f0f\u53ef\u4ee5\u88ab\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u3002
\u4e0e\u5341\u5b57\u76f8\u4e58\u6cd5\u5bf9\u5e94\u7684\u8fd8\u6709\u53cc\u5341\u5b57\u76f8\u4e58\u6cd5\uff0c\u4e5f\u53ef\u4ee5\u5b66\u4e00\u5b66\u3002
\u62c6\u6dfb\u9879\u6cd5
\u8fd9\u79cd\u65b9\u6cd5\u6307\u628a\u591a\u9879\u5f0f\u7684\u67d0\u4e00\u9879\u62c6\u5f00\u6216\u586b\u8865\u4e0a\u4e92\u4e3a\u76f8\u53cd\u6570\u7684\u4e24\u9879\uff08\u6216\u51e0\u9879\uff09\uff0c\u4f7f\u539f\u5f0f\u9002\u5408\u4e8e\u63d0\u516c\u56e0\u5f0f\u6cd5\u3001\u8fd0\u7528\u516c\u5f0f\u6cd5\u6216\u5206\u7ec4\u5206\u89e3\u6cd5\u8fdb\u884c\u5206\u89e3\u3002\u8981\u6ce8\u610f\uff0c\u5fc5\u987b\u5728\u4e0e\u539f\u591a\u9879\u5f0f\u76f8\u7b49\u7684\u539f\u5219\u4e0b\u8fdb\u884c\u53d8\u5f62\u3002
\u4f8b\u5982\uff1abc(b+c)+ca(c-a)-ab(a+b)
=bc(c-a+a+b)+ca(c-a)-ab(a+b)
=bc(c-a)+bc(a+b)+ca(c-a)-ab(a+b)
=bc(c-a)+ca(c-a)+bc(a+b)-ab(a+b)
=(bc+ca)(c-a)+(bc-ab)(a+b)
=c(c-a)(b+a)+b(a+b)(c-a)
=(c+b)(c-a)(a+b)\uff0e
\u914d\u65b9\u6cd5
\u5bf9\u4e8e\u67d0\u4e9b\u4e0d\u80fd\u5229\u7528\u516c\u5f0f\u6cd5\u7684\u591a\u9879\u5f0f\uff0c\u53ef\u4ee5\u5c06\u5176\u914d\u6210\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u7136\u540e\u518d\u5229\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\uff0c\u5c31\u80fd\u5c06\u5176\u56e0\u5f0f\u5206\u89e3\uff0c\u8fd9\u79cd\u65b9\u6cd5\u53eb\u914d\u65b9\u6cd5\u3002\u5c5e\u4e8e\u62c6\u9879\u3001\u8865\u9879\u6cd5\u7684\u4e00\u79cd\u7279\u6b8a\u60c5\u51b5\u3002\u4e5f\u8981\u6ce8\u610f\u5fc5\u987b\u5728\u4e0e\u539f\u591a\u9879\u5f0f\u76f8\u7b49\u7684\u539f\u5219\u4e0b\u8fdb\u884c\u53d8\u5f62\u3002
\u4f8b\u5982\uff1ax2+3x-40
=x2+3x+2.25-42.25
=(x+1.5)2-(6.5)2
=(x+8)(x-5)\uff0e
\u56e0\u5f0f\u5b9a\u7406
\u5bf9\u4e8e\u591a\u9879\u5f0ff(x)\uff0c\u5982\u679cf(a)=0\uff0c\u90a3\u4e48f(x)\u5fc5\u542b\u6709\u56e0\u5f0fx-a\uff0e
\u4f8b\u5982\uff1af(x)=x2+5x+6\uff0cf(-2)=0\uff0c\u5219\u53ef\u786e\u5b9ax+2\u662fx2+5x+6\u7684\u4e00\u4e2a\u56e0\u5f0f\u3002(\u4e8b\u5b9e\u4e0a\uff0cx2+5x+6=(x+2)(x+3)\uff0e)
\u6ce8\u610f\uff1a1\u3001\u5bf9\u4e8e\u7cfb\u6570\u5168\u90e8\u662f\u6574\u6570\u7684\u591a\u9879\u5f0f\uff0c\u82e5X=q/p\uff08p,q\u4e3a\u4e92\u8d28\u6574\u6570\u65f6\uff09\u8be5\u591a\u9879\u5f0f\u503c\u4e3a\u96f6\uff0c\u5219q\u4e3a\u5e38\u6570\u9879\u7ea6\u6570\uff0cp\u6700\u9ad8\u6b21\u9879\u7cfb\u6570\u7ea6\u6570
2\uff0e\u5bf9\u4e8e\u591a\u9879\u5f0ff(a)=0,b\u4e3a\u6700\u9ad8\u6b21\u9879\u7cfb\u6570\uff0cc\u4e3a\u5e38\u6570\u9879\uff0c\u5219\u6709a\u4e3ac/b\u7ea6\u6570
\u6362\u5143\u6cd5
\u6709\u65f6\u5728\u5206\u89e3\u56e0\u5f0f\u65f6\uff0c\u53ef\u4ee5\u9009\u62e9\u591a\u9879\u5f0f\u4e2d\u7684\u76f8\u540c\u7684\u90e8\u5206\u6362\u6210\u53e6\u4e00\u4e2a\u672a\u77e5\u6570\uff0c\u7136\u540e\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u6700\u540e\u518d\u8f6c\u6362\u56de\u6765\uff0c\u8fd9\u79cd\u65b9\u6cd5\u53eb\u505a\u6362\u5143\u6cd5\u3002\u6ce8\u610f\uff1a\u6362\u5143\u540e\u52ff\u5fd8\u8fd8\u5143\u3002
\u4f8b\u5982\u5728\u5206\u89e3(x2+x+1)(x2+x+2)-12\u65f6\uff0c\u53ef\u4ee5\u4ee4y=x2+x,\u5219
\u539f\u5f0f=(y+1)(y+2)-12
=y2+3y+2-12=y2+3y-10
=(y+5)(y-2)
=(x2+x+5)(x2+x-2)
=(x2+x+5)(x+2)(x-1)\uff0e
\u7efc\u5408\u9664\u6cd5
\u4ee4\u591a\u9879\u5f0ff(x)=0,\u6c42\u51fa\u5176\u6839\u4e3ax1\uff0cx2\uff0cx3\uff0c\u2026\u2026\uff0cxn\uff0c\u5219\u8be5\u591a\u9879\u5f0f\u53ef\u5206\u89e3\u4e3af(x)=a(x-x1)(x-x2)(x-x3)\u2026\u2026(x-xn) \uff0e
\u4f8b\u5982\u5728\u5206\u89e32x4+7x3-2x2-13x+6\u65f6\uff0c\u4ee42x4 +7x3-2x2-13x+6=0\uff0c
\u5219\u901a\u8fc7\u7efc\u5408\u9664\u6cd5\u53ef\u77e5\uff0c\u8be5\u65b9\u7a0b\u7684\u6839\u4e3a0.5 \uff0c-3\uff0c-2\uff0c1\uff0e
\u6240\u4ee52x4+7x3-2x2-13x+6=(2x-1)(x+3)(x+2)(x-1)\uff0e
\u4ee4y=f(x)\uff0c\u505a\u51fa\u51fd\u6570y=f(x)\u7684\u56fe\u8c61\uff0c\u627e\u5230\u51fd\u6570\u56fe\u50cf\u4e0eX\u8f74\u7684\u4ea4\u70b9x1,x2,x3,\u2026\u2026xn \uff0c\u5219\u591a\u9879\u5f0f\u53ef\u56e0\u5f0f\u5206\u89e3\u4e3af(x)= f(x)=a(x-x1)(x-x2)(x-x3)\u2026\u2026(x-xn)\uff0e
\u4e0e\u65b9\u6cd5\u247c\u76f8\u6bd4\uff0c\u80fd\u907f\u5f00\u89e3\u65b9\u7a0b\u7684\u7e41\u7410\uff0c\u4f46\u662f\u4e0d\u591f\u51c6\u786e\u3002
\u4e3b\u5143\u6cd5
\u4f8b\u5982\u5728\u5206\u89e3x3+2x2-5x-6\u65f6\uff0c\u53ef\u4ee5\u4ee4y=x3+2x2-5x-6.
\u4f5c\u51fa\u5176\u56fe\u50cf\uff0c\u4e0ex\u8f74\u4ea4\u70b9\u4e3a-3\uff0c-1\uff0c2
\u5219x3+2x2-5x-6=(x+1)(x+3)(x-2)
\u5148\u9009\u5b9a\u4e00\u4e2a\u5b57\u6bcd\u4e3a\u4e3b\u5143\uff0c\u7136\u540e\u628a\u5404\u9879\u6309\u8fd9\u4e2a\u5b57\u6bcd\u6b21\u6570\u4ece\u9ad8\u5230\u4f4e\u6392\u5217\uff0c\u518d\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002
\u7279\u6b8a\u503c\u6cd5
\u5c062\u621610\u4ee3\u5165x\uff0c\u6c42\u51fa\u6570p\uff0c\u5c06\u6570p\u5206\u89e3\u8d28\u56e0\u6570\uff0c\u5c06\u8d28\u56e0\u6570\u9002\u5f53\u7684\u7ec4\u5408\uff0c\u5e76\u5c06\u7ec4\u5408\u540e\u7684\u6bcf\u4e00\u4e2a\u56e0\u6570\u5199\u62102\u621610\u7684\u548c\u4e0e\u5dee\u7684\u5f62\u5f0f\uff0c\u5c062\u621610\u8fd8\u539f\u6210x\uff0c\u5373\u5f97\u56e0\u5f0f\u5206\u89e3\u5f0f\u3002
\u4f8b\u5982\u5728\u5206\u89e3x3+9x2+23x+15\u65f6\uff0c\u4ee4x=2\uff0c\u5219
x3+9x2+23x+15=8+36+46+15=105\uff0c
\u5c06105\u5206\u89e3\u62103\u4e2a\u8d28\u56e0\u6570\u7684\u79ef\uff0c\u5373105=3\u00d75\u00d77 \uff0e
\u6ce8\u610f\u5230\u591a\u9879\u5f0f\u4e2d\u6700\u9ad8\u9879\u7684\u7cfb\u6570\u4e3a1\uff0c\u800c3\u30015\u30017\u5206\u522b\u4e3ax+1\uff0cx+3\uff0cx+5\uff0c\u5728x=2\u65f6\u7684\u503c\uff0c
\u5219x3+9x2+23x+15\u53ef\u80fd\u7b49\u4e8e(x+1)(x+3)(x+5)\uff0c\u9a8c\u8bc1\u540e\u7684\u786e\u5982\u6b64\u3002
\u5f85\u5b9a\u7cfb\u6570\u6cd5
\u9996\u5148\u5224\u65ad\u51fa\u5206\u89e3\u56e0\u5f0f\u7684\u5f62\u5f0f\uff0c\u7136\u540e\u8bbe\u51fa\u76f8\u5e94\u6574\u5f0f\u7684\u5b57\u6bcd\u7cfb\u6570\uff0c\u6c42\u51fa\u5b57\u6bcd\u7cfb\u6570\uff0c\u4ece\u800c\u628a\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\u3002
\u4f8b\u5982\u5728\u5206\u89e3x4-x3-5x2-6x-4\u65f6\uff0c\u7531\u5206\u6790\u53ef\u77e5\uff1a\u8fd9\u4e2a\u591a\u9879\u5f0f\u6ca1\u6709\u4e00\u6b21\u56e0\u5f0f\uff0c\u56e0\u800c\u53ea\u80fd\u5206\u89e3\u4e3a\u4e24\u4e2a\u4e8c\u6b21\u56e0\u5f0f\u3002
\u4e8e\u662f\u8bbex4-x3-5x2-6x-4=(x2+ax+b)(x2+cx+d)
\u76f8\u5173\u516c\u5f0f
=x4+(a+c)x3+(ac+b+d)x2+(ad+bc)x+bd
\u7531\u6b64\u53ef\u5f97
a+c=-1\uff0c
ac+b+d=-5\uff0c
ad+bc=-6\uff0c
bd=-4\uff0e
\u89e3\u5f97a=1\uff0cb=1\uff0cc=-2\uff0cd=-4\uff0e
\u5219x4-x3-5x2-6x-4=(x2+x+1)(x2-2x-4)\uff0e
\u4e5f\u53ef\u4ee5\u53c2\u770b\u53f3\u56fe\u3002
\u53cc\u5341\u5b57\u76f8\u4e58\u6cd5
\u53cc\u5341\u5b57\u76f8\u4e58\u6cd5\u5c5e\u4e8e\u56e0\u5f0f\u5206\u89e3\u7684\u4e00\u7c7b\uff0c\u7c7b\u4f3c\u4e8e\u5341\u5b57\u76f8\u4e58\u6cd5\u3002
\u53cc\u5341\u5b57\u76f8\u4e58\u6cd5\u5c31\u662f\u4e8c\u5143\u4e8c\u6b21\u516d\u9879\u5f0f\uff0c\u542f\u59cb\u7684\u5f0f\u5b50\u5982\u4e0b\uff1a
ax2+bxy+cy2+dx+ey+f
x\u3001y\u4e3a\u672a\u77e5\u6570\uff0c\u5176\u4f59\u90fd\u662f\u5e38\u6570
\u7528\u4e00\u9053\u4f8b\u9898\u6765\u8bf4\u660e\u5982\u4f55\u4f7f\u7528\u3002
\u4f8b\uff1a\u5206\u89e3\u56e0\u5f0f\uff1ax2+5xy+6y2+8x+18y+12\uff0e
\u5206\u6790\uff1a\u8fd9\u662f\u4e00\u4e2a\u4e8c\u6b21\u516d\u9879\u5f0f\uff0c\u53ef\u8003\u8651\u4f7f\u7528\u53cc\u5341\u5b57\u76f8\u4e58\u6cd5\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002
\u89e3\uff1a\u56fe\u5982\u4e0b\uff0c\u628a\u6240\u6709\u7684\u6570\u5b57\u4ea4\u53c9\u76f8\u8fde\u5373\u53ef
x \u30002y \u30002
x \u30003y\u3000 6
\u2234\u539f\u5f0f=(x+2y+2)(x+3y+6)\uff0e
\u53cc\u5341\u5b57\u76f8\u4e58\u6cd5\u5176\u6b65\u9aa4\u4e3a\uff1a
\u2460\u5148\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e32\u6b21\u9879\uff0c\u5982\u5341\u5b57\u76f8\u4e58\u56fe\u2460\u4e2dx2+5xy+6y2=(x+2y)(x+3y)
\u2461\u5148\u4f9d\u4e00\u4e2a\u5b57\u6bcd\uff08\u5982y\uff09\u7684\u4e00\u6b21\u7cfb\u6570\u5206\u6570\u5e38\u6570\u9879\u3002\u5982\u5341\u5b57\u76f8\u4e58\u56fe\u2461\u4e2d6y2+18y+12=(2y+2)(3y+6)
\u2462\u518d\u6309\u53e6\u4e00\u4e2a\u5b57\u6bcd\uff08\u5982x\uff09\u7684\u4e00\u6b21\u7cfb\u6570\u8fdb\u884c\u68c0\u9a8c\uff0c\u5982\u5341\u5b57\u76f8\u4e58\u56fe\u2462\uff0c\u8fd9\u4e00\u6b65\u4e0d\u80fd\u7701\uff0c\u5426\u5219\u5bb9\u6613\u51fa\u9519\u3002
\u2463\u7eb5\u5411\u76f8\u4e58\uff0c\u6a2a\u5411\u76f8\u52a0\u3002
\u4e8c\u6b21\u591a\u9879\u5f0f
\uff08\u6839\u4e0e\u7cfb\u6570\u5173\u7cfb\u4e8c\u6b21\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\uff09
\u4f8b\uff1a\u5bf9\u4e8e\u4e8c\u6b21\u591a\u9879\u5f0f aX2+bX+c(a\u22600)
.
\u5f53\u25b3=b2-4ac\u22650\u65f6\uff0c\u8bbeaX2+bX+c=0\u7684\u89e3\u4e3aX1,X2
=a(X2-(X1+X2)X+X1X2)
=a(X-X1)(X-X2).
5\u5206\u89e3\u6b65\u9aa4\u7f16\u8f91
\u2460\u5982\u679c\u591a\u9879\u5f0f\u7684\u5404\u9879\u6709\u516c\u56e0\u5f0f\uff0c\u90a3\u4e48\u5148\u63d0\u516c\u56e0\u5f0f\uff1b
\u2461\u5982\u679c\u5404\u9879\u6ca1\u6709\u516c\u56e0\u5f0f\uff0c\u90a3\u4e48\u53ef\u5c1d\u8bd5\u8fd0\u7528\u516c\u5f0f\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u6765\u5206\u89e3\uff1b
\u2462\u5982\u679c\u7528\u4e0a\u8ff0\u65b9\u6cd5\u4e0d\u80fd\u5206\u89e3\uff0c\u90a3\u4e48\u53ef\u4ee5\u5c1d\u8bd5\u7528\u5206\u7ec4\u3001\u62c6\u9879\u3001\u8865\u9879\u6cd5\u6765\u5206\u89e3
\u2463\u5206\u89e3\u56e0\u5f0f\uff0c\u5fc5\u987b\u8fdb\u884c\u5230\u6bcf\u4e00\u4e2a\u591a\u9879\u5f0f\u56e0\u5f0f\u90fd\u4e0d\u80fd\u518d\u5206\u89e3\u4e3a\u6b62\u3002
\u4e5f\u53ef\u4ee5\u7528\u4e00\u53e5\u8bdd\u6765\u6982\u62ec\uff1a\u201c\u5148\u770b\u6709\u65e0\u516c\u56e0\u5f0f\uff0c\u518d\u770b\u80fd\u5426\u5957\u516c\u5f0f\u3002\u5341\u5b57\u76f8\u4e58\u8bd5\u4e00\u8bd5\uff0c\u5206\u7ec4\u5206\u89e3\u8981\u76f8\u5bf9\u5408\u9002\u3002\u201d
6\u4f8b\u9898\u7f16\u8f91
1\uff0e\u5206\u89e3\u56e0\u5f0f(1+y)2-2x2(1+y2)+x4(1-y)2\uff0e
\u89e3\uff1a\u539f\u5f0f=(1+y)2+2(1+y)x2(1-y)+x4(1-y)2-2(1+y)x2(1-y)-2x2(1+y2)\uff08\u8865\u9879\uff09
=[(1+y)+x2(1-y)]2-2(1+y)x2(1-y)-2x2(1+y2)\uff08\u5b8c\u5168\u5e73\u65b9\uff09
=[(1+y)+x2(1-y)]2-(2x)2
=[(1+y)+x2(1-y)+2x][(1+y)+x2(1-y)-2x]
=(x2-x2y+2x+y+1)(x^2-x2y-2x+y+1)
=[(x+1)2-y(x2-1)][(x-1)2-y(x2-1)]
=[(x+1)2-y(x+1)(x-1)][(x-1)2-y(x+1)(x-1)]
=(x+1)(x+1-xy+y)(x-1)(x-1-xy-y)\uff0e
2\uff0e\u6c42\u8bc1\uff1a\u5bf9\u4e8e\u4efb\u4f55\u6574\u6570x,y\uff0c\u4e0b\u5f0f\u7684\u503c\u90fd\u4e0d\u4f1a\u4e3a33\uff1a
x5+3x4y-5x3y2-15x2y3+4xy4+12y5\uff0e
\u89e3\uff1a\u539f\u5f0f=(x5+3x4y)-(5x3y2+15x2y3)+(4xy4+12y5)
=x4(x+3y)-5x2y2(x+3y)+4y4(x+3y)
=(x+3y)(x4-5x2y2+4y4)
=(x+3y)(x2-4y2)(x2-y2)
=(x+3y)(x+y)(x-y)(x+2y)(x-2y)\uff0e
\u5f53y=0\u65f6\uff0c\u539f\u5f0f=x5\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
3\uff0e\uff0e\u25b3ABC\u7684\u4e09\u8fb9a\u3001b\u3001c\u6709\u5982\u4e0b\u5173\u7cfb\u5f0f\uff1a-c2+a2+2ab-2bc=0\uff0c\u6c42\u8bc1\uff1a\u8fd9\u4e2a\u4e09\u89d2\u5f62\u662f\u7b49\u8170\u4e09\u89d2\u5f62\u3002
\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
\u8bc1\u660e\uff1a\u2235-c2+a2+2ab-2bc=0\uff0c
\u2234(a+c)(a-c)+2b(a-c)=0\uff0e
\u2234(a-c)(a+2b+c)=0\uff0e
\u2235a\u3001b\u3001c\u662f\u25b3ABC\u7684\u4e09\u6761\u8fb9\uff0c
\u2234a+2b+c>0\uff0e
\u2234a\uff0dc=0\uff0c
\u5373a=c\uff0c\u25b3ABC\u4e3a\u7b49\u8170\u4e09\u89d2\u5f62\u3002
4\uff0e\u628a-12x2n\u00d7yn+18xn+2yn+1-6xn\u00d7yn-1\u5206\u89e3\u56e0\u5f0f\u3002
\u89e3\uff1a-12x2n\u00d7yn+18xn+2yn+1-6xn\u00d7yn-1
=-6xn\u00d7yn-1(2xn\u00d7y-3x2y2+1)\uff0e
7\u56db\u4e2a\u6ce8\u610f\u7f16\u8f91
\u56e0\u5f0f\u5206\u89e3\u4e2d\u7684\u56db\u4e2a\u6ce8\u610f\uff0c\u53ef\u7528\u56db\u53e5\u8bdd\u6982\u62ec\u5982\u4e0b\uff1a\u9996\u9879\u6709\u8d1f\u5e38\u63d0\u8d1f\uff0c\u5404\u9879\u6709\u201c\u516c\u201d\u5148\u63d0\u201c\u516c\u201d\uff0c\u67d0\u9879\u63d0\u51fa\u83ab\u6f0f1\uff0c\u62ec\u53f7\u91cc\u9762\u5206\u5230\u201c\u5e95\u201d\u3002\u73b0\u4e3e\u4e0b\u4f8b\uff0c\u53ef\u4f9b\u53c2\u8003\u3002
\u4f8b1 \u628a-a2-b2+2ab+4\u5206\u89e3\u56e0\u5f0f\u3002
\u89e3\uff1a-a2-b2+2ab+4=-(a2-2ab+b2-4\uff09=-[(a-b)2-4]=-(a-b+2)(a-b-2)
\u8fd9\u91cc\u7684\u201c\u8d1f\u201d\uff0c\u6307\u201c\u8d1f\u53f7\u201d\u3002\u5982\u679c\u591a\u9879\u5f0f\u7684\u7b2c\u4e00\u9879\u662f\u8d1f\u7684\uff0c\u4e00\u822c\u8981\u63d0\u51fa\u8d1f\u53f7\uff0c\u4f7f\u62ec\u53f7\u5185\u7b2c\u4e00\u9879\u7cfb\u6570\u662f\u6b63\u7684\u3002\u9632\u6b62\u5b66\u751f\u51fa\u73b0\u8bf8\u5982\uff0d9x2+4y2=(-3x)2-(2y)2=(-3x+2y)(-3x-2y)=(3x-2y)(3x+2y)\u7684\u9519\u8bef\u3002
\u8fd9\u91cc\u7684\u201c\u516c\u201d\u6307\u201c\u516c\u56e0\u5f0f\u201d\u3002\u5982\u679c\u591a\u9879\u5f0f\u7684\u5404\u9879\u542b\u6709\u516c\u56e0\u5f0f\uff0c\u90a3\u4e48\u5148\u63d0\u53d6\u8fd9\u4e2a\u516c\u56e0\u5f0f\uff0c\u518d\u8fdb\u4e00\u6b65\u5206\u89e3\u56e0\u5f0f\uff1b\u8fd9\u91cc\u7684\u201c1\u201d\uff0c\u662f\u6307\u591a\u9879\u5f0f\u7684\u67d0\u4e2a\u6574\u9879\u662f\u516c\u56e0\u5f0f\u65f6\uff0c\u5148\u63d0\u51fa\u8fd9\u4e2a\u516c\u56e0\u5f0f\u540e\uff0c\u62ec\u53f7\u5185\u5207\u52ff\u6f0f\u63891\u3002
\u5206\u89e3\u56e0\u5f0f\uff0c\u5fc5\u987b\u8fdb\u884c\u5230\u6bcf\u4e00\u4e2a\u591a\u9879\u5f0f\u56e0\u5f0f\u90fd\u4e0d\u80fd\u518d\u5206\u89e3\u4e3a\u6b62\u3002\u5373\u5206\u89e3\u5230\u5e95\uff0c\u4e0d\u80fd\u534a\u9014\u800c\u5e9f\u7684\u610f\u601d\u3002\u5176\u4e2d\u5305\u542b\u63d0\u516c\u56e0\u5f0f\u8981\u4e00\u6b21\u6027\u63d0\u201c\u5e72\u51c0\u201d\uff0c\u4e0d\u7559\u201c\u5c3e\u5df4\u201d\uff0c\u5e76\u4f7f\u6bcf\u4e00\u4e2a\u62ec\u53f7\u5185\u7684\u591a\u9879\u5f0f\u90fd\u4e0d\u80fd\u518d\u5206\u89e3\u3002\u9632\u6b62\u5b66\u751f\u51fa\u73b0\u8bf8\u59824x4y2-5x2y2-9y2=y2(4x4-5x2-9)=y(x+1)(4x2-9)\u7684\u9519\u8bef\uff0c\u56e0\u4e3a4x2-9\u8fd8\u53ef\u5206\u89e3\u4e3a(2x+3)(2x-3)\u3002
\u8003\u8bd5\u65f6\u5e94\u6ce8\u610f\uff1a
\u5728\u6ca1\u6709\u8bf4\u660e\u5316\u5230\u5b9e\u6570\u65f6\uff0c\u4e00\u822c\u53ea\u5316\u5230\u6709\u7406\u6570\u5c31\u591f\u4e86\uff0c\u6709\u8bf4\u660e\u5b9e\u6570\u7684\u8bdd\uff0c\u4e00\u822c\u5c31\u8981\u5316\u5230\u5b9e\u6570\uff01
\u7531\u6b64\u770b\u6765\uff0c\u56e0\u5f0f\u5206\u89e3\u4e2d\u7684\u56db\u4e2a\u6ce8\u610f\u8d2f\u7a7f\u4e8e\u56e0\u5f0f\u5206\u89e3\u7684\u56db\u79cd\u57fa\u672c\u65b9\u6cd5\u4e4b\u4e2d\uff0c\u4e0e\u56e0\u5f0f\u5206\u89e3\u7684\u56db\u4e2a\u6b65\u9aa4\u6216\u8bf4\u4e00\u822c\u601d\u8003\u987a\u5e8f\u7684\u56db\u53e5\u8bdd\uff1a\u201c\u5148\u770b\u6709\u65e0\u516c\u56e0\u5f0f\uff0c\u518d\u770b\u80fd\u5426\u5957\u516c\u5f0f\uff0c\u5341\u5b57\u76f8\u4e58\u8bd5\u4e00\u8bd5\uff0c\u5206\u7ec4\u5206\u89e3\u8981\u5408\u9002\u201d\u7b49\u662f\u4e00\u8109\u76f8\u627f\u7684\u3002
8\u5e94\u7528\u7f16\u8f91
1\uff0e \u5e94\u7528\u4e8e\u591a\u9879\u5f0f\u9664\u6cd5\u3002
\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\uff0e \u5e94\u7528\u4e8e\u9ad8\u6b21\u65b9\u7a0b\u7684\u6c42\u6839\u3002
3\uff0e \u5e94\u7528\u4e8e\u5206\u5f0f\u7684\u901a\u5206\u4e0e\u7ea6\u5206
\u987a\u5e26\u4e00\u63d0\uff0c\u6885\u68ee\u5408\u6570\u5206\u89e3\u5df2\u7ecf\u53d6\u5f97\u4e00\u4e9b\u5fae\u4e0d\u8db3\u9053\u7684\u8fdb\u5c55\uff1a
1\uff0cp=4r+3\uff0c\u5982\u679c8r+7\u4e5f\u662f\u7d20\u6570\uff0c\u5219\uff1a(8r+7)|(2P-1)\u3002\u5373\uff082p+1\uff09|\uff082P-1\uff09
\u4f8b\u5982\uff1a
23|(211-1);\uff1b11=4\u00d72+3
47|(223-1);\uff1b23=4\u00d75+3
167|(283-1);,,,.83=4\u00d720+3
2,p=2n\u00d732+1,\uff0c\u5219\uff086p+1\uff09|(2P-1)\uff0c
\u4f8b\u5982\uff1a223|(237-1)\uff1b37=2\u00d72\u00d73\u00d73+1
439|(273-1)\uff1b73=2\u00d72\u00d72\u00d73\u00d73+1
3463|(2577-1)\uff1b577=2\u00d72\u00d72\u00d72\u00d72\u00d72\u00d73\u00d73+1
3\uff0cp=2n\u00d73m\u00d75s-1,\u5219\uff088p+1\uff09|\uff082P-1\uff09
\u4f8b\u5982\uff1b233|(229-1)\uff1b29=2\u00d73\u00d75-1
1433|(2179-1)\uff1b179=2\u00d72\u00d73\u00d73\u00d75-1
1913|\uff082239-1\uff09\uff1b239=2\u00d72\u00d72\u00d72\u00d73\u00d75-1
9\u5206\u89e3\u516c\u5f0f\u7f16\u8f91
\u5e73\u65b9\u5dee\u516c\u5f0f
(a+b)(a-b)=a2-b2
\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f
(a+b)2=a2+2ab+b2
(a-b)2=a2-2ab+b2
\u7acb\u65b9\u548c\uff08\u5dee\uff09
\u4e24\u6570\u5dee\u4e58\u4ee5\u5b83\u4eec\u7684\u5e73\u65b9\u548c\u4e0e\u5b83\u4eec\u7684\u79ef\u7684\u548c\u7b49\u4e8e\u4e24\u6570\u7684\u7acb\u65b9\u5dee\u3002
\u5373a3-b3=(a-b)(a2+ab+b2)
\u8bc1\u660e\u5982\u4e0b\uff1a\uff08 a-b\uff093=a3-3a2b+3ab2-b3
\u6240\u4ee5a3-b3=(a-b)3-[-3(a2)b+3ab2]=(a-b)(a-b)2+3ab(a-b)
=(a-b)(a2-2ab+b2+3ab)=(a-b)(a2+ab+b2)
\u540c\u7406 a3+b3=(a+b)(a2-ab+b2)
\u5341\u5b57\u76f8\u4e58\u516c\u5f0f
\u5341\u5b57\u76f8\u4e58\u6cd5\u80fd\u628a\u67d0\u4e9b\u4e8c\u6b21\u4e09\u9879\u5f0f\u5206\u89e3\u56e0\u5f0f\u3002\u8981\u52a1\u5fc5\u6ce8\u610f\u5404\u9879\u7cfb\u6570\u7684\u7b26\u53f7\u3002
(x+a)(x+b)=x2+(a+b)x+ab
\u4e0d\u77e5\u9053\u9700\u8981\u4ec0\u4e48\u96be\u5ea6\u7684\uff0c\u6240\u4ee5\u8fd8\u662f\u7b54\u65b9\u6cd5
\u2488X�0�5\ufe63Y�0�5 \u24894X�0�5-9Y�0�5 \u248a5M�0�5-3N�0�5 \u248ba�0�5\ufe632b�0�5 \u248c64X�0�5-27Y�0�5 \u248daX�0�5-bY�0�5 \u248e625a�0�5\ufe6381b�0�5 \u248fa�0�6-ab�0�5 \u2490\uff0da�0�5b\ufe62a�0�6-b�0�6\ufe62ab�0�5 \u2491ma�0�5\ufe62nb�0�5-na�0�5-mb�0�5 \u2460a�0�5-2ab\ufe62b�0�5 \u2461a�0�5\ufe622ab\ufe62b�0�5 \u2462a�0�5-4ab\ufe624b�0�5 \u24634a�0�6\ufe6212a�0�5b\ufe629ab�0�5 \u24649\ufe624-6 \u2465x�0�5-2xy\ufe622x-2y\ufe62y�0�5 \u2466x�0�5\ufe622x-2y-2xy\ufe621 \u2467x�0�6\ufe62y�0�6-x�0�5y-xy�0�5 \u2468x�0�5\ufe62x\uff0f4\uff0d1 \u2469x�0�5\ufe623x\ufe629\uff0f4 \u601d\u8003\u9898\u22362x�0�6x�0�6-x�0�6x�0�5-x�0�6x-x�0�5x-x�0�5-x-66
1. 5ax+5bx+3ay+3by解法：=5x(a+b)+3y(a+b)
=(5x+3y)(a+b)
2. x^3-x^2+x-1
解法：=(x^3-x^2)+(x-1)
=x^2(x-1)+ (x-1)
=(x-1)(x^2+1)
3. x2-x-y2-y
解法：=(x2-y2)-(x+y)
=(x+y)(x-y)-(x+y)
=(x+y)(x-y-1)
bc(b+c)+ca(c-a)-ab(a+b)
=bc(c-a+a+b)+ca(c-a)-ab(a+b)
=bc(c-a)+bc(a+b)+ca(c-a)-ab(a+b)
=bc(c-a)+ca(c-a)+bc(a+b)-ab(a+b)
=(bc+ca)(c-a)+(bc-ab)(a+b)
=c(c-a)(b+a)+b(a+b)(c-a)
=(c+b)(c-a)(a+b)．
x^2+3x-40
=x^2+3x+2.25-42.25
=(x+1.5)^2-(6.5)^2
=(x+8)(x-5)．
(x^2+x+1)(x^2+x+2)-12时,可以令y=x^2+x,则
原式=(y+1)(y+2)-12
=y^2+3y+2-12=y^2+3y-10
=(y+5)(y-2)
=(x^2+x+5)(x^2+x-2)
=(x^2+x+5)(x+2)(x-1)．
(1+y)^2-2x^2(1+y^2)+x^4(1-y)^2
原式=(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)
=[(1+y)+x^2(1-y)]^2-2(1+y)x^2(1-y)-2x^2(1+y^2)
=[(1+y)+x^2(1-y)]^2-(2x)^2
=[(1+y)+x^2(1-y)+2x]·[(1+y)+x^2(1-y)-2x]
=(x^2-x^2y+2x+y+1)(x^2-x^2y-2x+y+1)
=[(x+1)^2-y(x^2-1)][(x-1)^2-y(x^2-1)]
=(x+1)(x+1-xy+y)(x-1)(x-1-xy-y)
x^5+3x^4y-5x^3y^2+4xy^4+12y^5
原式=(x^5+3x^4y)-(5x^3y^2+15x^2y^3)+(4xy^4+12y^5)
=x^4(x+3y)-5x^2y^2(x+3y)+4y^4(x+3y)
=(x+3y)(x^4-5x^2y^2+4y^4)
=(x+3y)(x^2-4y^2)(x^2-y^2)
=(x+3y)(x+y)(x-y)(x+2y)(x-2y)
分解因式m +5n-mn-5m
m +5n-mn-5m= m -5m -mn+5n
= (m -5m )+(-mn+5n)
=m(m-5)-n(m-5)
=(m-5)(m-n)
分解因式bc(b+c)+ca(c-a)-ab(a+b)
bc(b+c)+ca(c-a)-ab(a+b)=bc(c-a+a+b)+ca(c-a)-ab(a+b)
=bc(c-a)+ca(c-a)+bc(a+b)-ab(a+b)
=c(c-a)(b+a)+b(a+b)(c-a)
=(c+b)(c-a)(a+b)
1.(2a-b)²+8ab
2.y²-2y-x²+1
3.x²-xy+yz-xz
4.6x²+5x-4
5.2a²-7ab+6b²
6.(x²-2x)²+2(x²-2x)+1
7.(x²-2x)²-14(x²-2x)-15
8.x²(x-y)+(y-x)
9.169(a+b)²-121(a-b)²
10.(x-3)(x-5)+1
答案：1.(2a-b)²+8ab=(2a+b)²
2.y²-2y-x²+1=(y-1)²-x²=(y-1-x)(y-1+x)
3.x²-xy+yz-xz =x(x-y)-z(x-y)=(x-z)(x-y)
4.6x²+5x-4 =(2x-1)(3x+4)
5.2a²-7ab+6b²=(2a-3b)(a-2b)
6.(x²-2x)²+2(x²-2x)+1 =(x²-2x+1)²=(x-1)^4
7.(x²-2x)²-14(x²-2x)-15 =(x²-2x-15)(x²-2x+1)=(x+3)(x-5)(x-1)²
8.x²(x-y)+(y-x) =(x²-1)(x-y)=(x+1)(x-1)(x-y)
9.169(a+b)²-121(a-b)²
=(14a+14b-11a+11b)(14a+14b+11a-11b)
=(3a+25b)(25a+3b)
10.(x-3)(x-5)+1 =(x-3)²-2(x-3)+1 =(x-3-1)²=(x-4)²
-5a^2+16a=a(16-5a)
8x^2-4x=4x(2x-1)
15p+10p^2＝5p(3+2p)
－3x^2y-6xy=-3xy(x+2y)
14m^3n^2-6m^2n^3=2m^2n^2(7m-6n)
27a^2 b^3 c+18ab^2=9ab^2(3abc+2)
18xy^2 z^3+12x^2 y^2=6xy^2(3z^3+2x)
8m^2 n^2 -6m^3 n^2=2m^2 n^2(4-3m)
因式分解3a3b2c－6a2b2c2＋9ab2c3＝3ab^2 c(a^2-2ac+3c^2)
3.因式分解xy＋6－2x－3y＝(x-3)(y-2)
4.因式分解x2(x－y)＋y2(y－x)＝(x+y)(x-y)^2
5.因式分解2x2－(a－2b)x－ab＝(2x-a)(x+b)
6.因式分解a4－9a2b2＝a^2(a+3b)(a-3b)
7.若已知x3＋3x2－4含有x－1的因式,试分解x3＋3x2－4＝(x-1)(x+2)^2
8.因式分解ab(x2－y2)＋xy(a2－b2)＝(ay+bx)(ax-by)
9.因式分解(x＋y)(a－b－c)＋(x－y)(b＋c－a)＝2y(a-b-c)
10.因式分解a2－a－b2－b＝(a+b)(a-b-1)
11.因式分解(3a－b)2－4(3a－b)(a＋3b)＋4(a＋3b)2＝[3a-b-2(a+3b)]^2=(a-7b)^2
12.因式分解(a＋3)2－6(a＋3)＝(a+3)(a-3)
13.因式分解(x＋1)2(x＋2)－(x＋1)(x＋2)2＝-(x+1)(x+2) abc＋ab－4a＝a(bc+b-4)
(2)16x2－81＝(4x+9)(4x-9)
(3)9x2－30x＋25＝(3x-5)^2
(4)x2－7x－30＝(x-10)(x+3)
35.因式分解x2－25＝(x+5)(x-5)
36.因式分解x2－20x＋100＝(x-10)^2
37.因式分解x2＋4x＋3＝(x+1)(x+3)
38.因式分解4x2－12x＋5＝(2x-1)(2x-5)
39.因式分解下列各式： (1)3ax2－6ax＝3ax(x-2) (2)x(x＋2)－x＝x(x+1) (3)x2－4x－ax＋4a＝(x-4)(x-a) (4)25x2－49＝(5x-9)(5x+9) (5)36x2－60x＋25＝(6x-5)^2 (6)4x2＋12x＋9＝(2x+3)^2 (7)x2－9x＋18＝(x-3)(x-6) (8)2x2－5x－3＝(x-3)(2x+1) (9)12x2－50x＋8＝2(6x-1)(x-4)
40.因式分解(x＋2)(x－3)＋(x＋2)(x＋4)＝(x+2)(2x-1)
41.因式分解2ax2－3x＋2ax－3＝ (x+1)(2ax-3)
42.因式分解9x2－66x＋121＝(3x-11)^2
43.因式分解8－2x2＝2(2+x)(2-x)
44.因式分解x2－x＋14 ＝整数内无法分解
45.因式分解9x2－30x＋25＝(3x-5)^2
46.因式分解－20x2＋9x＋20＝(-4x+5)(5x+4)
47.因式分解12x2－29x＋15＝(4x-3)(3x-5)
48.因式分解36x2＋39x＋9＝3(3x+1)(4x+3)
49.因式分解21x2－31x－22＝(21x+11)(x-2)
50.因式分解9x4－35x2－4＝(9x^2+1)(x+2)(x-2)
51.因式分解(2x＋1)(x＋1)＋(2x＋1)(x－3)＝2(x-1)(2x+1)
52.因式分解2ax2－3x＋2ax－3＝(x+1)(2ax-3)
53.因式分解x(y＋2)－x－y－1＝(x-1)(y+1)
54.因式分解(x2－3x)＋(x－3)2＝(x-3)(2x-3)
55.因式分解9x2－66x＋121＝(3x-11)^2
56.因式分解8－2x2＝2(2-x)(2+x)
57.因式分解x4－1＝(x-1)(x+1)(x^2+1)
58.因式分解x2＋4x－xy－2y＋4＝(x+2)(x-y+2)
59.因式分解4x2－12x＋5＝(2x-1)(2x-5)
60.因式分解21x2－31x－22＝(21x+11)(x-2)
61.因式分解4x2＋4xy＋y2－4x－2y－3＝(2x+y-3)(2x+y+1)
62.因式分解9x5－35x3－4x＝x(9x^2+1)(x+2)(x-2)
绛旓細骞虫柟鏁伴兘鏄潪璐熸暟,涓や釜闈炶礋鏁扮殑鍜屼负0 閭ｄ箞杩欎袱涓暟閮芥槸0 x-2=0 y+3=0 x=2,y=-3 xy=2*(-3)=-6 8.|2a-1|+4a²-4ab+b²=0 |2a-1|+(2a-b)²=0 缁濆鍊间笌骞虫柟鏁伴兘鏄潪璐熸暟 涓や釜闈炶礋鏁扮殑鍜屾槸0,閭ｄ箞杩欎袱涓暟閮芥槸0 2a-1=0 2a-b=0 a=0.5 b=1 ...
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绛旓細12.鍥犲紡鍒嗚В(a锛3)2锛6(a锛3)锛(a+3)(a-3)13.鍥犲紡鍒嗚В(x锛1)2(x锛2)锛(x锛1)(x锛2)2锛-(x+1)(x+2)abc锛媋b锛4a锛漚(bc+b-4)(2)16x2锛81锛(4x+9)(4x-9)(3)9x2锛30x锛25锛(3x-5)^2 (4)x2锛7x锛30锛(x-10)(x+3)35.鍥犲紡鍒嗚Вx2锛25锛(x+5)(x-5)36....
绛旓細1.(1)=[2(x²+6x+1)+(x²+1)][(x²+6x+1)+2(x²+1)]=(2x²+12x+2+x²+1)(x²+6x+1+2x²+2)=(3x²+12x+3)(3x²+6x+3)=9(x²+4x+1)(x+1)²(2)=(x²+8x+7)(x²+8x+15)+15 ...
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绛旓細12.鍥犲紡鍒嗚В(a锛3)2锛6(a锛3)锛(a+3)(a-3)13.鍥犲紡鍒嗚В(x锛1)2(x锛2)锛(x锛1)(x锛2)2锛-(x+1)(x+2)abc锛媋b锛4a锛漚(bc+b-4)(2)16x2锛81锛(4x+9)(4x-9)(3)9x2锛30x锛25锛(3x-5)^2 (4)x2锛7x锛30锛(x-10)(x+3)35.鍥犲紡鍒嗚Вx2锛25锛(x+5)(x-5)36....
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