因式分解(a²-ab)+c(a-b) (x-y)四次方+x(x-y)³+y(y-x)³

问题描述:

因式分解(a²-ab)+c(a-b) (x-y)四次方+x(x-y)³+y(y-x)³

(a²-ab)+c(a-b)
=a(a-b)+c(a-b)
=(a+c)(a-b)
(x-y)四次方+x(x-y)³+y(y-x)³
=(x-y)四次方+x(x-y)³-y(x-y)³
=(x-y)³[(x-y)+x-y]
=(x-y)³[x-y+x-y]
=2(x-y)³(x-y)
=2(x-y)四次方