Question

Thực hiện phép tính

Answer 1

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

`=x^3 -x^2y-(x^3-y^3)+x^2y`

`=x^3 -x^2y-x^3+y^3+x^2y`

`=(x^3-x^3)+(-x^2y+x^2y) +y^3`

`=y^3`

Answer 2

\(x^2\left(x-y\right)-\left(x-y\right)\left(x^2+xy+y^2\right)+x^2y\\ =\left(x-y\right)\left(x^2-x^2-xy-y^2\right)+x^2y\\ =-\left(x-y\right)\left(y^2+xy\right)+x^2y\\ =-xy^2-x^2y+y^3+xy^2+x^2y\\ =y^3\)

Answer 3