[(x+y)(x-y)]的七次➗[(-x-y)(x-y)]的五次-2(-xy)的平方,其中x=-2,y=-1求平方差公式解答过程,

问题描述:

[(x+y)(x-y)]的七次➗[(-x-y)(x-y)]的五次-2(-xy)的平方,其中x=-2,y=-1求平方差公式解答过程,

(x+y)(x-y)=x^2-y^2,
(-x-y)(x-y)=-(x+y)(x-y)=-(x^2-y^2),
∴原式=(x^2-y^2)^7÷[-(x^2-y^2)]^5-2x^2y^2
=-(x^2-y^2)^2-2x^2y^2
x=-2,y=1时原式=-(4-1)^2-2*4*1=-9-8=-17.