Evaluate (x^2y-3y^2+5xy^2)-(-x^2y+3xy^2-3y^2)

$(x^{2} y - 3 y^{2} + 5 x y^{2}) - (- x^{2} y + 3 x y^{2} - 3 y^{2})$

Step 1

Simplify each term.

Apply the distributive property.

$x^{2} y - 3 y^{2} + 5 x y^{2} - (- x^{2} y) - (3 x y^{2}) - (- 3 y^{2})$

Simplify.

Multiply $- (- x^{2} y)$ .

Multiply $- 1$ by $- 1$ .

$x^{2} y - 3 y^{2} + 5 x y^{2} + 1 (x^{2} y) - (3 x y^{2}) - (- 3 y^{2})$

Multiply $x^{2}$ by $1$ .

$x^{2} y - 3 y^{2} + 5 x y^{2} + x^{2} y - (3 x y^{2}) - (- 3 y^{2})$

Multiply $3$ by $- 1$ .

$x^{2} y - 3 y^{2} + 5 x y^{2} + x^{2} y - 3 (x y^{2}) - (- 3 y^{2})$

Multiply $- 3$ by $- 1$ .

$x^{2} y - 3 y^{2} + 5 x y^{2} + x^{2} y - 3 (x y^{2}) + 3 y^{2}$

$x^{2} y - 3 y^{2} + 5 x y^{2} + x^{2} y - 3 x y^{2} + 3 y^{2}$

Step 2

Simplify by adding terms.

Combine the opposite terms in $x^{2} y - 3 y^{2} + 5 x y^{2} + x^{2} y - 3 x y^{2} + 3 y^{2}$ .

Add $- 3 y^{2}$ and $3 y^{2}$ .

$x^{2} y + 5 x y^{2} + x^{2} y - 3 x y^{2} + 0$

Add $x^{2} y + 5 x y^{2} + x^{2} y - 3 x y^{2}$ and $0$ .

$x^{2} y + 5 x y^{2} + x^{2} y - 3 x y^{2}$

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

$2 x^{2} y + 5 x y^{2} - 3 x y^{2}$

Subtract $3 x y^{2}$ from $5 x y^{2}$ .

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