# How do you add (4v^3- 3v^2+ 2v)+ (3v^3+ 6v^2- 9v)?

Dec 6, 2016

$7 {v}^{3} + 3 {v}^{2} - 7 v$

#### Explanation:

Step 1) to answering this question is to take all of the terms out of parenthesis:

$4 {v}^{3} - 3 {v}^{2} + 2 v + 3 {v}^{3} + 6 {v}^{2} - 9 v$

Next, group like terms:

$4 {v}^{3} + 3 {v}^{3} - 3 {v}^{2} + 6 {v}^{2} + 2 v - 9 v$

$\left(4 + 3\right) {v}^{3} + \left(- 3 + 6\right) {v}^{2} + \left(2 - 9\right) v$
$7 {v}^{3} + 3 {v}^{2} - 7 v$