Simplify (3xy^2+2x^2y-3xy+4x^2y^2)+(3x^2y^2-3xy+2xy^2-2x^2y)

$(3 x y^{2} + 2 x^{2} y - 3 x y + 4 x^{2} y^{2}) + (3 x^{2} y^{2} - 3 x y + 2 x y^{2} - 2 x^{2} y)$

Step 1

Remove parentheses.

$3 x y^{2} + 2 x^{2} y - 3 x y + 4 x^{2} y^{2} + 3 x^{2} y^{2} - 3 x y + 2 x y^{2} - 2 x^{2} y$

Step 2

Combine the opposite terms in $3 x y^{2} + 2 x^{2} y - 3 x y + 4 x^{2} y^{2} + 3 x^{2} y^{2} - 3 x y + 2 x y^{2} - 2 x^{2} y$ .

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

$3 x y^{2} - 3 x y + 4 x^{2} y^{2} + 3 x^{2} y^{2} - 3 x y + 2 x y^{2} + 0$

Add $3 x y^{2} - 3 x y + 4 x^{2} y^{2} + 3 x^{2} y^{2} - 3 x y + 2 x y^{2}$ and $0$ .

$3 x y^{2} - 3 x y + 4 x^{2} y^{2} + 3 x^{2} y^{2} - 3 x y + 2 x y^{2}$

Step 3

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

$5 x y^{2} - 3 x y + 4 x^{2} y^{2} + 3 x^{2} y^{2} - 3 x y$

Step 4

Subtract $3 x y$ from $- 3 x y$ .

$5 x y^{2} - 6 x y + 4 x^{2} y^{2} + 3 x^{2} y^{2}$

Step 5

Add $4 x^{2} y^{2}$ and $3 x^{2} y^{2}$ .

$5 x y^{2} - 6 x y + 7 x^{2} y^{2}$