Simplify (x^2+6)-(6-x^2)

$(x^{2} + 6) - (6 - x^{2})$

Simplify each term.

Apply the distributive property.

$x^{2} + 6 - 1 \cdot 6 - - x^{2}$

Multiply $- 1$ by $6$ .

$x^{2} + 6 - 6 - - x^{2}$

Multiply $- - x^{2}$ .

Multiply $- 1$ by $- 1$ .

$x^{2} + 6 - 6 + 1 x^{2}$

Multiply $x^{2}$ by $1$ .

$x^{2} + 6 - 6 + x^{2}$

Simplify by adding terms.

Combine the opposite terms in $x^{2} + 6 - 6 + x^{2}$ .

Subtract $6$ from $6$ .

$x^{2} + 0 + x^{2}$

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

$x^{2} + x^{2}$

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

$2 x^{2}$