# How do you find the product of (2m-3)(m+4)?

Jan 16, 2017

See full process explanation below:

#### Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{2 m} - \textcolor{red}{3}\right) \left(\textcolor{b l u e}{m} + \textcolor{b l u e}{4}\right)$ becomes:

$\left(\textcolor{red}{2 m} \times \textcolor{b l u e}{m}\right) + \left(\textcolor{red}{2 m} \times \textcolor{b l u e}{4}\right) - \left(\textcolor{red}{3} \times \textcolor{b l u e}{m}\right) - \left(\textcolor{red}{3} \times \textcolor{b l u e}{4}\right)$

$2 {m}^{2} + 8 m - 3 m - 12$

We can now combine like terms:

$2 {m}^{2} + \left(8 - 3\right) m - 12$

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