# How do you combine like terms in (4t ^ { 2} - 3t - 6) + ( t ^ { 2} - 7t + 5)?

Jan 3, 2017

See the entire process to combine like terms below:

#### Explanation:

The first step is to take all of the terms out of the parenthesis being sure to manage the signs correctly:

$\textcolor{red}{4 {t}^{2}} - \textcolor{b l u e}{3 t} - \textcolor{g r e e n}{6} + \textcolor{red}{{t}^{2}} - \textcolor{b l u e}{7 t} + \textcolor{g r e e n}{5}$

Next group like terms together:

$\textcolor{red}{4 {t}^{2}} + \textcolor{red}{{t}^{2}} - \textcolor{b l u e}{3 t} - \textcolor{b l u e}{7 t} - \textcolor{g r e e n}{6} + \textcolor{g r e e n}{5}$

Now combine like terms:

$\textcolor{red}{\left(4 + 1\right) {t}^{2}} + \textcolor{b l u e}{\left(- 3 - 7\right) t} + \textcolor{g r e e n}{\left(- 6 + 5\right)} \to$

$\textcolor{red}{5 {t}^{2}} + \textcolor{b l u e}{\left(- 10 t\right)} + \textcolor{g r e e n}{\left(- 1\right)} \to$

$\textcolor{red}{5 {t}^{2}} - \textcolor{b l u e}{10 t} - \textcolor{g r e e n}{1}$