Simplify (7x^2+2x-10)-(2-6x+x^2)

$(7 x^{2} + 2 x - 10) - (2 - 6 x + x^{2})$

Step 1

Simplify each term.

Apply the distributive property.

$7 x^{2} + 2 x - 10 - 1 \cdot 2 - (- 6 x) - x^{2}$

Simplify.

Multiply $- 1$ by $2$ .

$7 x^{2} + 2 x - 10 - 2 - (- 6 x) - x^{2}$

Multiply $- 6$ by $- 1$ .

$7 x^{2} + 2 x - 10 - 2 + 6 x - x^{2}$

Step 2

Simplify by adding terms.

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

$6 x^{2} + 2 x - 10 - 2 + 6 x$

Add $2 x$ and $6 x$ .

$6 x^{2} + 8 x - 10 - 2$

Subtract $2$ from $- 10$ .

$6 x^{2} + 8 x - 12$