因式分解：(2x-y)(x^2+xy-2y^2) xy(x^2-xy)(-3xy^2)

题目

因式分解：(2x-y)(x^2+xy-2y^2) xy(x^2-xy)(-3xy^2)

答案

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