初一因式分解。速度。35道。

\u521d\u4e00\u56e0\u5f0f\u5206\u89e3\uff0c\u65f6\u95f4\uff0c\u901f\u5ea6\uff0c\u5728\u7ebf\u7b49~~~~~~~~~~~~~

1\u9898:=[3(a+b)]^2-[2(a-b)]^2=(3a+3b+2a-2b)*(3a+3b-2a+2b)=(5a+b)*(a+5b)
2\u9898:=x^2-2xy+y^2+4xy=x^2+2xy+y^2=(x+y)^2

3\u9898:=(x+y)^2-4(x+y)+4=(x+y)^2-4(x+y)+2^2=(x+y-2)^2


\u5907\u6ce8:^2\u5373\u6c42\u5e73\u65b9

(x+2)(x-2)+16
=x^2-4+16
=x^2+12

4(x+y)^2-20(x+y)+25
=(2x+2y-5)^2

a^2-b^2-4a+4b
=(a+b)(a-b)-4(a-b)
=(a-b)(a+b-4)


\u4e0b\u9762\u8ba1\u7b97
(2+1)(2^2+1)(2^4+1)\u2026\u2026(2^(2n)+1)
=(2-1)(2+1)(2^2+1)(2^4+1)\u2026\u2026(2^(2n)+1)
=(2^2-1)(2^2+1)(2^4+1)\u2026\u2026(2^(2n)+1)
=2^(4n)-1

1,x^-x-20 =(x-5)(x+4)
2,x^-9x+20 =(x-5)(x-4)
3,x^-9x-20 =(x-3+根号14)(x-3-根号14)
4,x^+9x+20 =(x+5)(x+4)
5,x^-18x+32 =(x-2)(x-16)
6,x^+14x-31
7,x^+18x+32
8,x^+14x-32
9,x^+19x+48
10,x^+47x-48
11,x^+13x-48
12,x^+2x-48
13,x^+26x+48
14,x^-22x-48
15,x^+17x+72
16,x^+21x-100
17,x^-x-72
18,x^-17x+72
19,x^+6x+8
20,x^-11x+28
21,x^-9x+8
22,x^+4x-12
23,x^-2x-15
24,x^+6x+5
25,a^+a-12
26,x^-8x+7
27,x^+5x-14
28,x^-3x-28
29,x^-3x-10
30,n^-14n+24
31,x^-7x+12
32,x^-7x+6
33,x^-x-6
34,x^+3x-10
35,x^+2x-15

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