Simplify (-x^2y+3xy^3+4x^2y^2)+(-8x^2y-2xy^3-6x^2y^2)

$(- x^{2} y + 3 x y^{3} + 4 x^{2} y^{2}) + (- 8 x^{2} y - 2 x y^{3} - 6 x^{2} y^{2})$

Step 1

Remove parentheses.

$- x^{2} y + 3 x y^{3} + 4 x^{2} y^{2} - 8 x^{2} y - 2 x y^{3} - 6 x^{2} y^{2}$

Step 2

Subtract $8 x^{2} y$ from $- x^{2} y$ .

$- 9 x^{2} y + 3 x y^{3} + 4 x^{2} y^{2} - 2 x y^{3} - 6 x^{2} y^{2}$

Step 3

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

$- 9 x^{2} y + 1 x y^{3} + 4 x^{2} y^{2} - 6 x^{2} y^{2}$

Step 4

Multiply $x$ by $1$ .

$- 9 x^{2} y + x y^{3} + 4 x^{2} y^{2} - 6 x^{2} y^{2}$

Step 5

Subtract $6 x^{2} y^{2}$ from $4 x^{2} y^{2}$ .

$- 9 x^{2} y + x y^{3} - 2 x^{2} y^{2}$