# How do you simplify the difference (4w^2- 4w- 8)- (2w^2 +3w- 6)?

Dec 1, 2016

$2 {w}^{2} - 7 w - 2$

#### Explanation:

Let's remember that $\left(4 {w}^{2} - 4 w - 8\right) - \left(2 {w}^{2} + 3 w - 6\right)$ is the same as

$\left(4 {w}^{2} - 4 w - 8\right) - 1 \left(2 {w}^{2} + 3 w - 6\right)$

You now need to distribute the $- 1$

$4 {w}^{2} - 4 w - 8 - 2 {w}^{2} - 3 w + 6$

Now combine like terms. (Same variable and same exponent.)

$2 {w}^{2} - 7 w - 2$