分解因式:x^4-2y^4-2x^3y+xy^3

问题描述:

分解因式:x^4-2y^4-2x^3y+xy^3

x^4+xy^3-2y^4-2x^3y
=x(x^3+y^3)-2y(x^3+y^3)
=(x^3+y^3)(x-2y)
=(x+y)(x^2-xy+y^2)(x-2y)