都怎么做啊???

来源:百度知道 编辑:UC知道 时间:2024/05/11 03:05:23
分解下列各式:
1.(x^-5x)^-2x^+10x-24
2.(x+1)(x+2)(x+3)(x+4)-48
3.7a^(x-y)^-5a(x-y)-2
4.m的四次方+4
5.a的四次方+a^+1
6.4p的四次方+1
7.x^-(2a-b)x+a^-ab
8.x^-4ax+3a^+2a-1
x的四次方-13x^+36

1.(x^2-5x)^2-2x^2+10x-24
= (x^2-5x)^2-2(x^2-5x)-24
=(x^2-5x-6)(x^2-5x+4)
=(x-6)(x+1)(x-1)(x-4);

2.(x+1)(x+2)(x+3)(x+4)-48
=[(x+1)(x+4)][(x+2)(x+3)]-48
=(x^2+5x+4)(x^2+5x+6)-48
=[(x^2+5x+5)-1][(x^2+5x+5)+1]-48
=(x^2+5x+5)^2-1-48
=(x^2+5x+5)^2-49
=(x^2+5x+5-7)(x^2+5x+5+7)
=(x^2+5x-2)(x^2+5x+12);

3.7a^2(x-y)^2-5a(x-y)-2
=[a(x-y)-1][7a(x-y)+2]
=(ax-ay-1)(7ax-7ay+2);

4.m^4+4
=m^4+4m^2+4-4m^2
=(m^2+2)^2-(2m)^2
=(m^2+2-2m)(m^2+2+2m);

5.a^4+a^2+1
=a^4+2a^2+1-a^2
=(a^2+1)^2-a^2
=(a^2+1-a)(a^2+1+a);

6.4p^4+1
=4p^4+4p^2+1-4p^2
=(2p^2+1)^2-(2p)^2
=(2p^2+1+2p)(2p^2+1-2p);

7.x^2-(2a-b)x+a^2-ab
=x^2-(2a-b)x+a(a-b)
=(x-a)[x-(a-b)]
=(x-a)(x-a+b);

8.x^2-4ax+3a^2+2a-1
=x^2-4ax+4a^2-a^2+2a-1
=(x^2-4ax+4a^2)-(a^2-2a+1)
=(x-2a)^2-(a-1)^2
=[(x-2a)+(a-1)][(x-2a)-(a-1)]
=(x-a-1)(x-3