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

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

Remove parentheses.

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

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

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

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

$- x^{2} y^{2} + 1 x y^{2} + 4 x^{2} y - 3 + 2 x^{2} y - 4$

Multiply $x$ by $1$ .

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

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

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

Subtract $4$ from $- 3$ .

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