Evaluate (-4x^2-2x-6)-(-7x^2-2x-2)

$(- 4 x^{2} - 2 x - 6) - (- 7 x^{2} - 2 x - 2)$

Step 1

Simplify each term.

Apply the distributive property.

$- 4 x^{2} - 2 x - 6 - (- 7 x^{2}) - (- 2 x) - - 2$

Simplify.

Multiply $- 7$ by $- 1$ .

$- 4 x^{2} - 2 x - 6 + 7 x^{2} - (- 2 x) - - 2$

Multiply $- 2$ by $- 1$ .

$- 4 x^{2} - 2 x - 6 + 7 x^{2} + 2 x - - 2$

Multiply $- 1$ by $- 2$ .

$- 4 x^{2} - 2 x - 6 + 7 x^{2} + 2 x + 2$

Step 2

Simplify by adding terms.

Combine the opposite terms in $- 4 x^{2} - 2 x - 6 + 7 x^{2} + 2 x + 2$ .

Add $- 2 x$ and $2 x$ .

$- 4 x^{2} - 6 + 7 x^{2} + 0 + 2$

Add $- 4 x^{2} - 6 + 7 x^{2}$ and $0$ .

$- 4 x^{2} - 6 + 7 x^{2} + 2$

Add $- 4 x^{2}$ and $7 x^{2}$ .

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

Add $- 6$ and $2$ .

$3 x^{2} - 4$