Simplify (3w^2-2z^2+3w)-(w^2+2z^2+3w)

$(3 w^{2} - 2 z^{2} + 3 w) - (w^{2} + 2 z^{2} + 3 w)$

Simplify each term.

Apply the distributive property.

$3 w^{2} - 2 z^{2} + 3 w - w^{2} - (2 z^{2}) - (3 w)$

Simplify.

Multiply $2$ by $- 1$ .

$3 w^{2} - 2 z^{2} + 3 w - w^{2} - 2 z^{2} - (3 w)$

Multiply $3$ by $- 1$ .

$3 w^{2} - 2 z^{2} + 3 w - w^{2} - 2 z^{2} - 3 w$

Simplify by adding terms.

Combine the opposite terms in $3 w^{2} - 2 z^{2} + 3 w - w^{2} - 2 z^{2} - 3 w$ .

Subtract $3 w$ from $3 w$ .

$3 w^{2} - 2 z^{2} - w^{2} - 2 z^{2} + 0$

Add $3 w^{2} - 2 z^{2} - w^{2} - 2 z^{2}$ and $0$ .

$3 w^{2} - 2 z^{2} - w^{2} - 2 z^{2}$

Subtract $w^{2}$ from $3 w^{2}$ .

$2 w^{2} - 2 z^{2} - 2 z^{2}$

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

$2 w^{2} - 4 z^{2}$