Question

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！

Answer 1

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)

Answer 2

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

Answer 3

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

Answer 4

(X+Y)的立方

Answer 5

=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)

Answer 6

(x+y)^3+2xy-2x^2y-2xy^2-1
=(x+y)^3-1+2xy-2xy(x+y)+2xy-1
=(x+y-1)[(x+y)²+(x+y)+1]-2xy(x+y-1)
=(x+y-1)(x²+2xy+y²+x+y+1-2xy)
=(x+y-1)(x²+y²+x+y+1)