# What is the standard form of a polynomial (4u^3 + 4u^2 + 2) + (6u^3 - 2u + 8)?

May 21, 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:

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

Next, group like terms:

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

Now, combine like terms:

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

$10 {u}^{3} + 4 {u}^{2} - 2 u + 10$