初中因式分解的公式 勿抄袭O(∩ 求初二北师大版分解因式的思考题,超难的!!!要答案,O(∩_...

\u62dc\u6258\u7ed950\u4e2a\u516b\u5e74\u7ea7\u56e0\u5f0f\u5206\u89e3\u9898\u76ee\u554a~~~\u3010\u7b80\u5355\u4e00\u70b9\u76840O(\u2229_\u2229)O~\u8c22\u8c22\uff01\uff01

1.(3a\uff0db)2\uff0d4(3a\uff0db)(a\uff0b3b)\uff0b4(a\uff0b3b)2\uff1d[3a-b-2(a+3b)]^2=(a-7b)^2
2.(a\uff0b3)2\uff0d6(a\uff0b3)\uff1d(a+3)(a-3)
3(x\uff0b1)2(x\uff0b2)\uff0d(x\uff0b1)(x\uff0b2)2\uff1d-(x+1)(x+2)
4.abc\uff0bab\uff0d4a\uff1da(bc+b-4)
5.16x2\uff0d81\uff1d(4x+9)(4x-9)
6.9x2\uff0d30x\uff0b25\uff1d(3x-5)^2
7.x2\uff0d7x\uff0d30\uff1d(x-10)(x+3)
8.x2\uff0d25\uff1d(x+5)(x-5)
9.x2\uff0d20x\uff0b100\uff1d(x-10)^2
10.x2\uff0b4x\uff0b3\uff1d(x+1)(x+3)
11.4x2\uff0d12x\uff0b5\uff1d(2x-1)(2x-5)
12.3ax2\uff0d6ax\uff1d3ax(x-2)
13.x(x\uff0b2)\uff0dx\uff1dx(x+1)
14.x2\uff0d4x\uff0dax\uff0b4a\uff1d(x-4)(x-a)
15.25x2\uff0d49\uff1d(5x-9)(5x+9)
16.36x2\uff0d60x\uff0b25\uff1d(6x-5)^2
17.4x2\uff0b12x\uff0b9\uff1d(2x+3)^2
18.x2\uff0d9x\uff0b18\uff1d(x-3)(x-6)
19.2x2\uff0d5x\uff0d3\uff1d(x-3)(2x+1)
20.12x2\uff0d50x\uff0b8\uff1d2(6x-1)(x-4)
21.(x\uff0b2)(x\uff0d3)\uff0b(x\uff0b2)(x\uff0b4)\uff1d(x+2)(2x-1)
22.2ax2\uff0d3x\uff0b2ax\uff0d3\uff1d (x+1)(2ax-3)
23.9x2\uff0d66x\uff0b121\uff1d(3x-11)^2
24.8\uff0d2x2\uff1d2(2+x)(2-x)
25.x2\uff0dx\uff0b14 \uff1d\u6574\u6570\u5185\u65e0\u6cd5\u5206\u89e3
26.9x2\uff0d30x\uff0b25\uff1d(3x-5)^2
27.\uff0d20x2\uff0b9x\uff0b20\uff1d(-4x+5)(5x+4)
28.12x2\uff0d29x\uff0b15\uff1d(4x-3)(3x-5)
29.36x2\uff0b39x\uff0b9\uff1d3(3x+1)(4x+3)
30.21x2\uff0d31x\uff0d22\uff1d(21x+11)(x-2)
31.9x4\uff0d35x2\uff0d4\uff1d(9x^2+1)(x+2)(x-2)
32.(2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)\uff1d2(x-1)(2x+1)
33.2ax2\uff0d3x\uff0b2ax\uff0d3\uff1d(x+1)(2ax-3)
34.x(y\uff0b2)\uff0dx\uff0dy\uff0d1\uff1d(x-1)(y+1)
35.(x2\uff0d3x)\uff0b(x\uff0d3)2\uff1d(x-3)(2x-3)
36.9x2\uff0d66x\uff0b121\uff1d(3x-11)^2
37.8\uff0d2x2\uff1d2(2-x)(2+x)
38.x4\uff0d1\uff1d(x-1)(x+1)(x^2+1)
39.x2\uff0b4x\uff0dxy\uff0d2y\uff0b4\uff1d(x+2)(x-y+2)
40.4x2\uff0d12x\uff0b5\uff1d(2x-1)(2x-5)
41.21x2\uff0d31x\uff0d22\uff1d(21x+11)(x-2)
42.3x2\uff0d6x\uff1d3x(x-2)
43.49x2\uff0d25\uff1d(7x+5)(7x-5)
44.6x2\uff0d13x\uff0b5\uff1d(2x-1)(3x-5)
45.x2\uff0b2\uff0d3x\uff1d(x-1)(x-2)
46.12x2\uff0d23x\uff0d24\uff1d(3x-8)(4x+3)
47.(x\uff0b6)(x\uff0d6)\uff0d(x\uff0d6)\uff1d(x-6)(x+5)
48.3(x\uff0b2)(x\uff0d5)\uff0d(x\uff0b2)(x\uff0d3)\uff1d2(x-6)(x+2)
49.9x2\uff0b42x\uff0b49\uff1d(3x+7)^2 \u3002
\u8fd8\u6709\u8fd9; http://wenku.baidu.com/view/e9929a3d5727a5e9856a61e4.html

\u5341\u5b57\u76f8\u4e58\u6cd5\u770b\u8fd9 http://baike.baidu.com/view/198055.htm

\u5e0c\u671b\u5bf9\u4f60\u6709\u5e2e\u52a9\uff0c\u4e0d\u61c2\u8fd8\u53ef\u95ee\uff0c\u6ee1\u610f\u8bf7\u53ca\u65f6\u91c7\u7eb3\uff01\u795d\u4f60\u5b66\u4e60\u8fdb\u6b65\uff01o(\u2229_\u2229)o

\u8fd9\u4e9b\u90fd\u662f\u8d85\u786c
1\uff0c\uff08x ^ 4 + x ^ 2-4\uff09\uff08x ^ 4 + x ^ 2 +3\uff09+10\uff08x ^ 2 +2\uff09\uff08x +1\uff09\uff08X-1 \uff09\uff08\u03c7^ 4 + X ^ 2 +1\uff09
2\u4e2d\uff0cx ^ 4 2\u6240\u8ff0^ 3-9x\u7684^ 2-2x\u76848\u7b2c\uff08x +1\uff09\uff08x-1\u7684\uff09\uff084\uff09\uff08 X-2\uff09
3\u4e2d\uff0cx ^ 4 - 4\u500d^ 3 +4\u03c7^ 2-1\uff08\u03c7^ 2-2x\u7684-1\uff09\uff08x-1\u7684\uff09^ 2
4\uff0c\uff08xy\uff09\u7684^ 3 +\uff08YZ\uff09^ 3 +\uff08ZX\uff09^ 3 -3\uff08XY\uff09\uff08YZ\uff09\uff08ZX\uff09
5\uff0c^ 2\uff08BC\uff09+ B ^ 2\uff08CA\uff09+ C ^ 2\uff08AB\uff09 - \uff08AB\uff09\uff08BC\uff09\uff08CA\uff09
\u7b2c\u4e00\u4e2a\u95ee\u9898\uff0c\u53ef\u4ee5\u8bbe\u7f6eX ^ 4 + X ^ 2 = Y\u7684\u56e0\u7d20\u5b9a\u7406\u7684
\u7b2c\u56db\u9898\u7b2c\u4e94\u9898\u7684

平方差公式:a^2-b^2=(a+b)(a-b);
完全平方公式:a^2±2ab+b^2=(a±b)^2;
立方和公式:a^3+b^3=(a+b)(a^2-ab+b^2);
立方差公式:a^3-b^3=(a-b)(a^2+ab+b^2);
完全立方公式:a^3±3a^2b+3ab^2±b^3=(a±b)^3.
公式:a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)
十字相乘法初步公式:x^2+(p+q)x+pq=(x+p)(x+q)
十字相乘法通用公式:如果有k=ac,n=bd,且有ad+bc=m时,那么kx^2+mx+n=(ax+b)(cx+d)
注意,a,b,c,p,q这些可能是常数,可能是代数式,注意观察
一个快捷的方法是余式定理:如果多项式f(a)=0,那么多项式f(x)必定含有因式x-a,再用长除法用x-a除以f(x)降次,多用几次得到答案后,根据答案再用拆项添项的办法去做题

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