Answer
$(x+y)^2(x-y)$
Work Step by Step
The product of a binomial sum and a binomial difference is: $(A+B)(A-B)=A^2-B^2$.
The square of a binomial sum is: $(A+B)^2=A^2+2AB+B^2$.
The square of a binomial difference is: $(A-B)^2=A^2-2AB+B^2$.
Hence here: $x^3-xy^2+x^2y-y^3=\\=x(x^2-y^2)+y(x^2-y^2)\\=(x+y)(x^2-y^2)\\=(x+y)(x+y)(x-y)\\=(x+y)^2(x-y)$