初一数学因式分解，求详细过程
\u521d\u4e00\u6570\u5b66 \u56e0\u5f0f\u5206\u89e3 \u6c42\u8be6\u7ec6\u8fc7\u7a0b01
\u63d0\u516c\u56e0\u5f0f\u6cd5
\u3000\u3000\u2460\u516c\u56e0\u5f0f\uff1a\u5404\u9879\u90fd\u542b\u6709\u7684\u516c\u5171\u7684\u56e0\u5f0f\u53eb\u505a\u8fd9\u4e2a\u591a\u9879\u5f0f\u5404\u9879\u7684\uff5e.
\u3000\u3000\u2461\u63d0\u516c\u56e0\u5f0f\u6cd5\uff1a\u4e00\u822c\u5730\uff0c\u5982\u679c\u591a\u9879\u5f0f\u7684\u5404\u9879\u6709\u516c\u56e0\u5f0f\uff0c\u53ef\u4ee5\u628a\u8fd9\u4e2a\u516c\u56e0\u5f0f\u63d0\u5230\u62ec\u53f7\u5916\u9762\uff0c\u5c06\u591a\u9879\u5f0f\u5199\u6210\u56e0\u5f0f\u4e58\u79ef\u7684\u5f62\u5f0f\uff0c\u8fd9\u79cd\u5206\u89e3\u56e0\u5f0f\u7684\u65b9\u6cd5\u53eb\u505a\u63d0\u516c\u56e0\u5f0f\u6cd5.
\u3000\u3000am\uff0bbm\uff0bcm\uff1dm\uff08a+b+c\uff09
\u3000\u3000\u2462\u5177\u4f53\u65b9\u6cd5\uff1a\u5f53\u5404\u9879\u7cfb\u6570\u90fd\u662f\u6574\u6570\u65f6\uff0c\u516c\u56e0\u5f0f\u7684\u7cfb\u6570\u5e94\u53d6\u5404\u9879\u7cfb\u6570\u7684\u6700\u5927\u516c\u7ea6\u6570\uff1b\u5b57\u6bcd\u53d6\u5404\u9879\u7684\u76f8\u540c\u7684\u5b57\u6bcd\uff0c\u800c\u4e14\u5404\u5b57\u6bcd\u7684\u6307\u6570\u53d6\u6b21\u6570\u6700\u4f4e\u7684.\u5982\u679c\u591a\u9879\u5f0f\u7684\u7b2c\u4e00\u9879\u662f\u8d1f\u7684\uff0c\u4e00\u822c\u8981\u63d0\u51fa\u201c\uff0d\u201d\u53f7\uff0c\u4f7f\u62ec\u53f7\u5185\u7684\u7b2c\u4e00\u9879\u7684\u7cfb\u6570\u662f\u6b63\u7684.
>02
\u8fd0\u7528\u516c\u5f0f\u6cd5
\u3000\u3000\u2460\u5e73\u65b9\u5dee\u516c\u5f0f\uff1a.a^2\uff0db^2\uff1d(a\uff0bb)(a\uff0db)
\u3000\u3000\u2461\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\uff1aa^2\u00b12ab\uff0bb^2\uff1d(a\u00b1b)^2
\u3000\u3000\u203b\u80fd\u8fd0\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u5206\u89e3\u56e0\u5f0f\u7684\u591a\u9879\u5f0f\u5fc5\u987b\u662f\u4e09\u9879\u5f0f\uff0c\u5176\u4e2d\u6709\u4e24\u9879\u80fd\u5199\u6210\u4e24\u4e2a\u6570(\u6216\u5f0f)\u7684\u5e73\u65b9\u548c\u7684\u5f62\u5f0f\uff0c\u53e6\u4e00\u9879\u662f\u8fd9\u4e24\u4e2a\u6570(\u6216\u5f0f)\u7684\u79ef\u76842\u500d.
>03
\u5206\u7ec4\u5206\u89e3\u6cd5
\u3000\u3000\u5206\u7ec4\u5206\u89e3\u6cd5\uff1a\u628a\u4e00\u4e2a\u591a\u9879\u5f0f\u5206\u7ec4\u540e\uff0c\u518d\u8fdb\u884c\u5206\u89e3\u56e0\u5f0f\u7684\u65b9\u6cd5.
\u3000\u3000\u5206\u7ec4\u5206\u89e3\u6cd5\u5fc5\u987b\u6709\u660e\u786e\u76ee\u7684\uff0c\u5373\u5206\u7ec4\u540e\uff0c\u53ef\u4ee5\u76f4\u63a5\u63d0\u516c\u56e0\u5f0f\u6216\u8fd0\u7528\u516c\u5f0f.
>04
\u62c6\u9879\u3001\u8865\u9879\u6cd5
\u3000\u3000\u62c6\u9879\u3001\u8865\u9879\u6cd5\uff1a\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\uff1b\u8981\u6ce8\u610f\uff0c\u5fc5\u987b\u5728\u4e0e\u539f\u591a\u9879\u5f0f\u76f8\u7b49\u7684\u539f\u5219\u8fdb\u884c\u53d8\u5f62.
\u3000\u3000\u203b\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\u7684\u4e00\u822c\u6b65\u9aa4\uff1a
\u3000\u3000\u2460\u5982\u679c\u591a\u9879\u5f0f\u7684\u5404\u9879\u6709\u516c\u56e0\u5f0f\uff0c\u90a3\u4e48\u5148\u63d0\u516c\u56e0\u5f0f\uff1b
\u3000\u3000\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
\u3000\u3000\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\uff1b
\u3000\u3000\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
>05
\u914d\u65b9\u6cd5\uff1a\u5bf9\u4e8e\u90a3\u4e9b\u4e0d\u80fd\u5229\u7528\u516c\u5f0f\u6cd5\u7684\u591a\u9879\u5f0f\uff0c\u6709\u7684\u53ef\u4ee5\u5229\u7528\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\u3002
>06
\u6362\u5143\u6cd5\uff1a\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\u3002
>07
\u5f85\u5b9a\u7cfb\u6570\u6cd5\uff1a\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
=-a（1-2a+a²)
=-a（1-a)²
2.9(x+2y)²-25(x-2y)²
=［ 3(x+2y) ］²-［5(x-2y) ］²
=[3(x+2y)+5(x-2y)][3(x+2y)-5(x-2y)]
=(8x-4y)(-2x+16y)
=-8(2x-y)(x-8y)
3.x²+x+_1/4__=( x+1/2 )²
4.(7a-8b)²-4x²
=(7a-8b)²-（2x)²
=(7a-8b+2x)(7a-8b-2x)
5.9(a-b)²+12(a-b)+4
=[3(a-b)]²+2×3(a-b)×2+2²
=[3(a-b)+2]²
=(3a-3b+2)²
=-a(1-a)^2
2.=[3(x+2y)]^2-[5(x-2y)]^2=8(8y-x)(2x-y)
3.........1/4=(x+1/2)^2
4.=(7a-8b+2x)(7a-8b+2x)
5.=(3a+3b+2)^2
-a+2a²-a³=a(-1+2a-a^2)=-a(a-1)²
9(x+2y)²-25(x-2y)²=[3(x+2y)+5(x-2y)][3(x+2y)-5(x-2y)]=(8x-4y)(16y-2x)
x²+x+1/4=(x+1/2)²
(7a-8b)²-4x²=(7a-8b-2x)(7a-8b+2x)
9(a-b)²+12(a-b)+4=[3(a-b)+2]²=(3a-3b+2)²
9(x+2y)^2-25(x-2y)^2
=[3(x+2y)+5(x-2y)][(3(x+2y)-5(x-2y)]
=(8x-4y)(-2x+16y)
=-8(2x-y)(x-8y)
第一题提出一个-a来，再完全平方就行了
第二题提出方来就行了
第三题完全平方公式
第四题a的平方减b的平方就等于(a+b）（a—b） 把两个项看做两个整体
第五题十字相乘法
1.-a+2a²-a³=-a(1-2a+a²）=-a(1-a)²
2.9(x+2y)²-25(x-2y)²=［ 3（x+2y) ］²-［ 5(x-2y) ］²=__[_3（x+2y)+ 5(x-2y) ] [_3（x+2y)- 5(x-2y) ]=(8x-4y)(-2x+16y)=-8(2x-y)(x-8y)
3.x²+x+_1/4_=( x+1/2 )²
4.(7a-8b)²-4x²=(7a-8b+2x)(7a-8b-2x)
5.9(a-b)²+12(a-b)+4=[3(a-b)+2]²=（3a-3b+2)²
绛旓細(x+y-z)(x-y-z)=[(x-z)+y)][(x-z)-y]=(x-z)^2-y^2 (1/4x^2-xy+y^2)/(x-2y)=(x^2-4xy+4y^2)/4(x-2y)=(x-2y)(x-2y)/4(x-2y)=(x-2y)/4 (x-1)^2=(x-1)(x+1)瑙ｏ細(x-1)^2-(x-1)(x+1)=0 (x-1)[(x-1)-(x+1)]=0 (x-1)脳(-2...
绛旓細锛濓紙a+b+c锛(a+b+c)=(x-4)(x+2)=(3x-1)(x+2)=(5x+4y)(x-2y)=(3x+5)(x+2)=((X^2+3x+2锛(x^2+7x+12)-120 =(x+1)(x+2)(x+3)(x+4)-120 =(X^2+5x+4锛(x^2+5x+6)-120 =(X^2+5x+4锛塣2+2(X^2+5x+4锛-120 =(X^2+5x+4+12)(X^2+5x+4-...
绛旓細锛1锛 锛坅+b锛²+6锛坅+b锛+9=[(a+b)+3]²=(a+b+3)²锛2锛 16 -24锛坸-y锛+9锛坸-y锛²=[4-3(x-y)]²=(4-3x+3y)²
绛旓細1.鍒嗚В鍥犲紡(1+y)-2x(1+y)+x(1-y) 瑙:鍘熷紡=(1+y)+2(1+y)+x(1-y)+x(1-y)-2(1+y)x(1-y)-2x(1+y) =[(1+y)+x(1-y)]-2(1+y)x(1-y)-2x(1+y) =[(1+y)+x(1-y)]-(2x) =[(1+y)+x(1-y)+2x]路[(1+y)+x(1-y)-2x] =(x-xy+2x+y+1)(x-xy-2x+y+...
绛旓細锛1锛6*x鐨骞虫柟+5xy-6*y鐨勫钩鏂-6xz+4yz =(3x-2y)*(2x+3y)-2z*(3x-2y)=(3x-2y)*(2x+3y-2z)锛2锛墄鐨勫钩鏂-xy+2x+y-3 =(x^2+3x-4)-(xy+x)+(y+1)=(x-1)(x+4)-x(y+1)+(y+1)=(x-1)(x+4)-(y+1)(x-1)=(x-1)(x-y+3)...
绛旓細寰楋細鍘熷紡=(1-1/2)脳(1+1/2)脳(1-1/3)脳(1+1/3)脳(1-1/4)脳(1+1/4)鈥(1-1/99)脳(1+1/99)脳(1-1/100)脳(1+1/100)=(1/2)脳(3/2)脳(2/3)脳(4/3)脳(3/4)脳(5/4)脳鈥γ(98/99)脳(100/99)脳(99/100)脳(101/100)=(1/2)脳(101/100)=101/200 ...
绛旓細锛4锛9a鐨骞虫柟-6ab+b鐨勫钩鏂 =(3a-b)²锛5锛-a鐨勫钩鏂-18a-81 =-(a²+18a+81)=-(a+9)²锛6锛夛紙m+n锛夌殑骞虫柟+2锛坢+n锛+1 =(m+n+1)²锛7锛墄鐨勪笁娆-2x鐨勫钩鏂+x =x(x²-2x+1)=x(x-1)²锛8锛夛紙a+b锛夌殑骞虫柟-4锛坅+b锛-1 杩欎釜...
绛旓細1銆佸師寮=锛坅+2锛夛紙a-2锛夛紱2銆佸師寮=m²-锛5n锛²=锛坢+5n锛夛紙m-5n锛夛紱3銆佸師寮=b²-锛3a锛²=锛坆+3a锛夛紙b-3a锛夛紱4銆佸師寮=锛9a锛²-锛5b锛²=锛9a+5b锛夛紙9a-5b锛夛紱5銆佸師寮=锛坸y锛²-z²=锛坸y+z锛夛紙xy-z锛夛紱6銆佸師寮=锛坸+2...
绛旓細鍏堟妸4(x+2z)(x-2z)+12xy+9y^2鍒嗚В鍥犲紡锛鍦ㄦ眰鍊硷紝鍏朵腑x锛1/2锛寉锛2/3锛寊锛3/4.鍘熷紡=4(x^2-4z^2)+12xy+9y^2=(4x^2+12xy+9y^2)-16z^2 =(2x+3y)^2-16z^2 =(2x+3y+4z)(2x+3y-4z)=(1+2+3)(1+2-3)=0 4:宸茬煡a,b,c涓轰笁瑙掑舰ABC涓夎竟,涓攁,b,c婊¤冻(a+b+...
绛旓細a²+ay-b²-by =(a²-b²)-(ay-by)=(a+b)(a-b)-y(a-b)=(a-b)(a+b-y)1/16x-1/2x²+x³=x(1/16-1/2x+x³)=x(1/4-x)³
