# How do you find the product (3m+5)(2m+3)?

Mar 20, 2018

#### Answer:

See a solution process below:

#### Explanation:

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

$\left(\textcolor{red}{3 m} + \textcolor{red}{5}\right) \left(\textcolor{b l u e}{2 m} + \textcolor{b l u e}{3}\right)$ becomes:

$\left(\textcolor{red}{3 m} \times \textcolor{b l u e}{2 m}\right) + \left(\textcolor{red}{3 m} \times \textcolor{b l u e}{3}\right) + \left(\textcolor{red}{5} \times \textcolor{b l u e}{2 m}\right) + \left(\textcolor{red}{5} \times \textcolor{b l u e}{3}\right)$

$6 {m}^{2} + 9 m + 10 m + 15$

We can now combine like terms:

$6 {m}^{2} + \left(9 + 10\right) m + 15$

$6 {m}^{2} + 19 m + 15$