分解因式:x^3-x^2y-xy^2-y^3

问题描述:

分解因式:x^3-x^2y-xy^2-y^3

x^3-x^2y-xy^2-y^3
=x^3-xy^2-x^2y-y^3
=x(x^2-y^2)-y(x^2-y^2)
=(x^2-y^2)(x-y)
=(x+y)(x-y)(x-y)
=(x+y)(x-y)^2