Simplify (3+6x^2-6x)-(8-8x+3x^2)

$(3 + 6 x^{2} - 6 x) - (8 - 8 x + 3 x^{2})$

Step 1

Simplify each term.

Apply the distributive property.

$3 + 6 x^{2} - 6 x - 1 \cdot 8 - (- 8 x) - (3 x^{2})$

Simplify.

Multiply $- 1$ by $8$ .

$3 + 6 x^{2} - 6 x - 8 - (- 8 x) - (3 x^{2})$

Multiply $- 8$ by $- 1$ .

$3 + 6 x^{2} - 6 x - 8 + 8 x - (3 x^{2})$

Multiply $3$ by $- 1$ .

$3 + 6 x^{2} - 6 x - 8 + 8 x - 3 x^{2}$

Step 2

Simplify by adding terms.

Subtract $8$ from $3$ .

$6 x^{2} - 6 x - 5 + 8 x - 3 x^{2}$

Subtract $3 x^{2}$ from $6 x^{2}$ .

$3 x^{2} - 6 x - 5 + 8 x$

Add $- 6 x$ and $8 x$ .

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