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