因式分解：（x的平方-y的平方）（x+y）-（x-y）的三次方
问题描述：
因式分解：（x的平方-y的平方）（x+y）-（x-y）的三次方
答
（x的平方-y的平方）（x+y）-（x-y）的三次方
=(x+y)(x-y)(x+y)-(x-y)*(x-y)^2
=(x^2+2xy+y^2)(x-y)-(x^2-2xy+y^2)(x-y)
=(x^2+2xy+y^2-x^2+2xy-y^2)(x-y)
=4xy(x-y)
答
（x^2-y^2）（x+y）-（x-y）^3
=(x+y)(x-y)(x+y)-(x-y)^3
=(x-y)[(x+y)^2-(x-y)^2]
=(x-y)[(x+y)+(x-y)][(x+y)-(x-y)]
=(x-y)*2x*2y
=4xy(x-y)