因式分解x^4-2y^4-2x^3y+xy^3
问题描述:
因式分解x^4-2y^4-2x^3y+xy^3
答
x^4-2y^4-2x^3y+xy^3
=x(x^3+y^3)-2y(x^3+y^3)
=(x-2y)(x^3+y^3)
=(x-2y)(x+y)(x^2-xy+y^2)
^表示指数.