# How do you simplify (6m+1)(2m-5)?

Jan 7, 2017

To simplify cross multiply each term in the left parenthesis by each term in the right parenthesis. See full process below:

#### Explanation:

$\left(\textcolor{red}{6 m + 1}\right) \left(\textcolor{b l u e}{2 m - 5}\right) \to$

$\left(\textcolor{red}{6 m} \times \textcolor{b l u e}{2 m}\right) - \left(\textcolor{red}{6 m} \times \textcolor{b l u e}{5}\right) + \left(\textcolor{red}{1} \times \textcolor{b l u e}{2 m}\right) - \left(\textcolor{red}{1} \times \textcolor{b l u e}{5}\right)$

$12 {m}^{2} - 30 m + 2 m - 5$

Now we can combine like terms:

$12 {m}^{2} + \left(- 30 + 2\right) m - 5$

$12 {m}^{2} - 28 m - 5$