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

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

Step 1

Remove parentheses.

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

Step 2

Combine the opposite terms in $3 x^{2} + x y - 5 y^{2} + 2 x^{2} - x y + 3 y^{2}$ .

Subtract $x y$ from $x y$ .

$3 x^{2} - 5 y^{2} + 2 x^{2} + 0 + 3 y^{2}$

Add $3 x^{2} - 5 y^{2} + 2 x^{2}$ and $0$ .

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

Step 3

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

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

Step 4

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

$5 x^{2} - 2 y^{2}$