Question

求一道分解因式题

（x+y)²（x-y)-(x+y)(x-y)²
（注：要有详细过程）

Answer 1

（x+y)²（x-y)-(x+y)(x-y)²
=(x+y)(x-y)[(x+y)-(x-y)]
=(x+y)(x-y)*2y
=2y(x+y)(x-y)

Answer 2

（x+y)²（x-y)-(x+y)(x-y)²
=(x+y)(x+y)（x-y)-(x+y)(x-y)（x-y）
=(x+y)(x-y)((x+y)-(x-y))
=(x+y)(x-y)*2y
=2y(x+y)(x-y)