To simplify the expression (3x^3y^2 - 5xy^4 - 2xy) + (2x^3y^2 + 5xy^4 + 3xy), we need to combine like terms.
The terms that have the same variables raised to the same powers are:
3x^3y^2 and 2x^3y^2, which add up to 5x^3y^2
-5xy^4 and 5xy^4, which cancel each other out
-2xy and 3xy, which add up to xy
Putting these like terms together, we get:
(3x^3y^2 - 5xy^4 - 2xy) + (2x^3y^2 + 5xy^4 + 3xy) = 5x^3y^2 + xy
Therefore, the simplified expression is 5x^3y^2 + xy.