Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

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

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

Step 3

Add $4 x y$ and $3 x y$ .

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

Step 4

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

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