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

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

Step 1

Remove parentheses.

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

Step 2

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

$8 x y^{2} - 3 x^{2} y - 2 x + 3 x y + 4 x - 5 x y + 2 x^{2} y$

Step 3

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

$8 x y^{2} - x^{2} y - 2 x + 3 x y + 4 x - 5 x y$

Step 4

Add $- 2 x$ and $4 x$ .

$8 x y^{2} - x^{2} y + 3 x y + 2 x - 5 x y$

Step 5

Subtract $5 x y$ from $3 x y$ .

$8 x y^{2} - x^{2} y - 2 x y + 2 x$