Simplify (9x^2+2x)-(2x^2+2x)-(4x^2-4)

$(9 x^{2} + 2 x) - (2 x^{2} + 2 x) - (4 x^{2} - 4)$

Step 1

Simplify each term.

Apply the distributive property.

$9 x^{2} + 2 x - (2 x^{2}) - (2 x) - (4 x^{2} - 4)$

Multiply $2$ by $- 1$ .

$9 x^{2} + 2 x - 2 x^{2} - (2 x) - (4 x^{2} - 4)$

Multiply $2$ by $- 1$ .

$9 x^{2} + 2 x - 2 x^{2} - 2 x - (4 x^{2} - 4)$

Apply the distributive property.

$9 x^{2} + 2 x - 2 x^{2} - 2 x - (4 x^{2}) - - 4$

Multiply $4$ by $- 1$ .

$9 x^{2} + 2 x - 2 x^{2} - 2 x - 4 x^{2} - - 4$

Multiply $- 1$ by $- 4$ .

$9 x^{2} + 2 x - 2 x^{2} - 2 x - 4 x^{2} + 4$

Step 2

Simplify by adding terms.

Combine the opposite terms in $9 x^{2} + 2 x - 2 x^{2} - 2 x - 4 x^{2} + 4$ .

Subtract $2 x$ from $2 x$ .

$9 x^{2} - 2 x^{2} + 0 - 4 x^{2} + 4$

Add $9 x^{2} - 2 x^{2}$ and $0$ .

$9 x^{2} - 2 x^{2} - 4 x^{2} + 4$

Subtract $2 x^{2}$ from $9 x^{2}$ .

$7 x^{2} - 4 x^{2} + 4$

Subtract $4 x^{2}$ from $7 x^{2}$ .

$3 x^{2} + 4$