x^3+2x^2y+2xy^2+y^3(因式分解)某代数式的三次方没学过，所以我学要过程，谢谢！
问题描述：
x^3+2x^2y+2xy^2+y^3(因式分解)
某代数式的三次方没学过，所以我学要过程，谢谢！
答
(X+Y)的立方
答
x^3+2x^2y+2xy^2+y^3=(x+y)^3
答
=x（x^2+2xy+y^2）+xy^2+y^3
=x(x+y)^2+y^2(x+y)
=(x+y)(x^2+xy+y^2)
答
(x+y)(x^2+xy+y^2)
答
x^3+2x^2y+2xy^2+y^3
=(x^3+y^3)+2xy(x+y)
=(x+y)(x^2-xy+y^2)+2xy(x+y)
=(x+y)(x^2+xy+y^2)