Simplify (5xy^2+3x^2-7)+(3x^2y^2-xy^2+3y^2+4)

$(5 x y^{2} + 3 x^{2} - 7) + (3 x^{2} y^{2} - x y^{2} + 3 y^{2} + 4)$

Step 1

Remove parentheses.

$5 x y^{2} + 3 x^{2} - 7 + 3 x^{2} y^{2} - x y^{2} + 3 y^{2} + 4$

Step 2

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

$4 x y^{2} + 3 x^{2} - 7 + 3 x^{2} y^{2} + 3 y^{2} + 4$

Step 3

Simplify the expression.

Add $- 7$ and $4$ .

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

Move $3 x^{2}$ .

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

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

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