Pre-Algebra Examples

$(- 4 x^{2} + 3 x y - y^{2}) + (- 7 x^{2} - x y + 6 y^{2}) + (x^{2} + 4 x y - 2 y^{2})$

Step 1

Remove parentheses.

$- 4 x^{2} + 3 x y - y^{2} - 7 x^{2} - x y + 6 y^{2} + x^{2} + 4 x y - 2 y^{2}$

Step 2

Subtract $7 x^{2}$ from $- 4 x^{2}$ .

$- 11 x^{2} + 3 x y - y^{2} - x y + 6 y^{2} + x^{2} + 4 x y - 2 y^{2}$

Step 3

Add $- 11 x^{2}$ and $x^{2}$ .

$- 10 x^{2} + 3 x y - y^{2} - x y + 6 y^{2} + 4 x y - 2 y^{2}$

Step 4

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

$- 10 x^{2} - y^{2} + 2 x y + 6 y^{2} + 4 x y - 2 y^{2}$

Step 5

Add $- y^{2}$ and $6 y^{2}$ .

$- 10 x^{2} + 5 y^{2} + 2 x y + 4 x y - 2 y^{2}$

Step 6

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

$- 10 x^{2} + 3 y^{2} + 2 x y + 4 x y$

Step 7

Add $2 x y$ and $4 x y$ .

$- 10 x^{2} + 3 y^{2} + 6 x y$