Simplify Subtract 10x^2-10x+2 from -8x^2+7x-7

Subtract $10 x^{2} - 10 x + 2$ from $- 8 x^{2} + 7 x - 7$

Step 1

Write the problem as a mathematical expression.

$- 8 x^{2} + 7 x - 7 - (10 x^{2} - 10 x + 2)$

Step 2

Simplify each term.

Apply the distributive property.

$- 8 x^{2} + 7 x - 7 - (10 x^{2}) - (- 10 x) - 1 \cdot 2$

Simplify.

Multiply $10$ by $- 1$ .

$- 8 x^{2} + 7 x - 7 - 10 x^{2} - (- 10 x) - 1 \cdot 2$

Multiply $- 10$ by $- 1$ .

$- 8 x^{2} + 7 x - 7 - 10 x^{2} + 10 x - 1 \cdot 2$

Multiply $- 1$ by $2$ .

$- 8 x^{2} + 7 x - 7 - 10 x^{2} + 10 x - 2$

Step 3

Simplify by adding terms.

Subtract $10 x^{2}$ from $- 8 x^{2}$ .

$- 18 x^{2} + 7 x - 7 + 10 x - 2$

Add $7 x$ and $10 x$ .

$- 18 x^{2} + 17 x - 7 - 2$

Subtract $2$ from $- 7$ .

$- 18 x^{2} + 17 x - 9$