Simplify (x^2+y^2)+(-x^2+y^2)

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

Step 1

Remove parentheses.

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

Step 2

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

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

$y^{2} + 0 + y^{2}$

Add $y^{2}$ and $0$ .

$y^{2} + y^{2}$

Step 3

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

$2 y^{2}$