Question

因式分解x^3+x^2y-xy^2-y^3

Answer 1

x^3+x^2y-xy^2-y^3

=（x-y）(x^2+xy+y^2)+xy(x-y)

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

=(x-y)(x+y)^2

Answer 2

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