因式分解(x2-y2)(x+y)-(x-y)?

问题描述:

因式分解(x2-y2)(x+y)-(x-y)?

(x2-y2)(x+y)-(x-y)
=(x+y)(x-y)(x+y)-(x-y)
=(x-y)[(x+y)^2-1]
=(x-y)(x+y+1)(x+y-1)