麻烦解几道分解因式的题,写出详细过程，谢谢。

显示全部楼层 · 2008-10-7 18:43:40

6ax+15b^2y^2-6b^2x-15ay^2
x^2-a^2-2x-2a
4x^2-4xy+y^2-a^2
(z^2-x^2-y^2)^2-4x^2y^2

千问 · 2008-10-7 18:43:40

1. 6ax+15b^2y^2-6b^2x-15ay^2=6x(a-b^2) - 15y^2(a-b^2)=(6x-15y^2)(a-b^2)2. x^2-a^2-2x-2a=(x-a)(x+a) - 2(x+a)=(x+a)(x-a-2)3. 4x^2-4xy+y^2-a^2=(2x-y)^2 - a^2=(2x-y+a)(2x-y-a)4. (z^2-x^2-y^2)^2 - 4x^2y^2=(z^2-x^2-y^2)^2 - (2xy)^2=(z^2-x^2-y^2 + 2xy)(z^2-x^2-y^2 - 2xy)=(z^2-(x^2-2xy+y^2...

千问 · 2008-10-7 18:43:40

1)、6ax+15b^2y^2-6b^2x-15ay^2
=6ax-6b^2x+15b^2y^2-15ay^2
=6(a-b^2)x-15(a-b^2)y^2
=(a=b^2)(6x-15y^2).2)、x^2-a^2-2x-2a
=(x^2-a^2)-(2x+2a )
=(x-a)(x+a)-2(x+...

千问 · 2008-10-7 18:43:40

=6x(a-b^2)-15y^2(a-b^2) =(6x-15y^2)(a-b^2) =3(2x-5y^2)(a-b^2) =(x+a)(x-a)-2(x+a) =(x+a)(x-a-2) =4x^2-4xy+y^2-a^2 =(2x-y)^2-a^2 =(2x-y+a)(2x-y-a) =(z^2-x^2-y...

千问 · 2008-10-7 18:43:40

1、= 6x(a-b^2)+15y^2(b^2-a) = (6x-15y^2)(a-b^2)2、= (2x-y)^2-a^2 = (2x-y+a)(2x-y-a) 3、= (z^2-x^2-y^2)^2-(2xy)^2 = (z^2-x^2-y^2+2xy)(z^2-x^2-y^2-2xy) = (z^2-(x-y)^2)(z^2-(x+y)^2) ...