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!

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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!

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!
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!

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!
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)

(x+y)(x^2+xy+y^2)

(X+Y)的立方

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

=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)