Simplify Subtract 3x^2+8x from -9x^2+3x-8

Subtract $3 x^{2} + 8 x$ from $- 9 x^{2} + 3 x - 8$

Step 1

Write the problem as a mathematical expression.

$- 9 x^{2} + 3 x - 8 - (3 x^{2} + 8 x)$

Step 2

Simplify each term.

Apply the distributive property.

$- 9 x^{2} + 3 x - 8 - (3 x^{2}) - (8 x)$

Multiply $3$ by $- 1$ .

$- 9 x^{2} + 3 x - 8 - 3 x^{2} - (8 x)$

Multiply $8$ by $- 1$ .

$- 9 x^{2} + 3 x - 8 - 3 x^{2} - 8 x$

Step 3

Simplify by adding terms.

Subtract $3 x^{2}$ from $- 9 x^{2}$ .

$- 12 x^{2} + 3 x - 8 - 8 x$

Subtract $8 x$ from $3 x$ .

$- 12 x^{2} - 5 x - 8$