Simplify (x^3-x^2y)-(xy^2+y^3)+(x^2y+xy^2)

$(x^{3} - x^{2} y) - (x y^{2} + y^{3}) + (x^{2} y + x y^{2})$

Step 1

Simplify by adding terms.

Remove parentheses.

$(x^{3} - x^{2} y) - (x y^{2} + y^{3}) + x^{2} y + x y^{2}$

Combine the opposite terms in $(x^{3} - x^{2} y) - (x y^{2} + y^{3}) + x^{2} y + x y^{2}$ .

Add $- x^{2} y$ and $x^{2} y$ .

$x^{3} + 0 - (x y^{2} + y^{3}) + x y^{2}$

Add $x^{3}$ and $0$ .

$x^{3} - (x y^{2} + y^{3}) + x y^{2}$

Step 2

Apply the distributive property.

$x^{3} - x y^{2} - y^{3} + x y^{2}$

Step 3

Combine the opposite terms in $x^{3} - x y^{2} - y^{3} + x y^{2}$ .

Add $- x y^{2}$ and $x y^{2}$ .

$x^{3} - y^{3} + 0$

Add $x^{3} - y^{3}$ and $0$ .

$x^{3} - y^{3}$