Simplify -2x^2-6x+10 from -2x^2+9

$- 2 x^{2} - 6 x + 10$ from $- 2 x^{2} + 9$

Step 1

Write the problem as a mathematical expression.

$- 2 x^{2} + 9 - (- 2 x^{2} - 6 x + 10)$

Step 2

Simplify each term.

Apply the distributive property.

$- 2 x^{2} + 9 - (- 2 x^{2}) - (- 6 x) - 1 \cdot 10$

Simplify.

Multiply $- 2$ by $- 1$ .

$- 2 x^{2} + 9 + 2 x^{2} - (- 6 x) - 1 \cdot 10$

Multiply $- 6$ by $- 1$ .

$- 2 x^{2} + 9 + 2 x^{2} + 6 x - 1 \cdot 10$

Multiply $- 1$ by $10$ .

$- 2 x^{2} + 9 + 2 x^{2} + 6 x - 10$

Step 3

Simplify by adding terms.

Combine the opposite terms in $- 2 x^{2} + 9 + 2 x^{2} + 6 x - 10$ .

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

$0 + 9 + 6 x - 10$

Add $0$ and $9$ .

$9 + 6 x - 10$

Subtract $10$ from $9$ .

$6 x - 1$