# What is the standard form of a polynomial (6w^2 – 5w – 8) – (7w^2 + 4w – 2) ?

Jun 7, 2017

See a solution process below:

#### Explanation:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

$6 {w}^{2} - 5 w - 8 - 7 {w}^{2} - 4 w + 2$

Next, group like terms:

$6 {w}^{2} - 7 {w}^{2} - 5 w - 4 w - 8 + 2$

Now, combine like terms:

$\left(6 - 7\right) {w}^{2} + \left(- 5 - 4\right) w + \left(- 8 + 2\right)$

$- 1 {w}^{2} + \left(- 9\right) w + \left(- 6\right)$

$- 1 {w}^{2} - 9 w - 6$