# How do you combine like terms in (7p ^ { 4} - 3) - ( 3p ^ { 2} - 6) + ( 2p ^ { 4} + 6p ^ { 2} )?

Mar 4, 2017

See the entire solution process below:

#### Explanation:

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

$7 \textcolor{red}{{p}^{4}} - 3 - 3 \textcolor{b l u e}{{p}^{2}} + 6 + 2 \textcolor{red}{{p}^{4}} + 6 \textcolor{b l u e}{{p}^{2}}$

Next, group like terms together:

$7 \textcolor{red}{{p}^{4}} + 2 \textcolor{red}{{p}^{4}} + 6 \textcolor{b l u e}{{p}^{2}} - 3 \textcolor{b l u e}{{p}^{2}} - 3 + 6$

Now, combine the like terms:

$\left(7 + 2\right) \textcolor{red}{{p}^{4}} + \left(6 - 3\right) \textcolor{b l u e}{{p}^{2}} + 3$

$9 \textcolor{red}{{p}^{4}} + 3 \textcolor{b l u e}{{p}^{2}} + 3$