# How do you find the product of (m+4)(m+1)?

Aug 11, 2016

${m}^{2} + 5 m + 4$

#### Explanation:

We must ensure that each term in the 2nd bracket is multiplied by each term in the 1st bracket.
We can ensure this as follows.

$\left(\textcolor{red}{m + 4}\right) \left(m + 1\right) = \textcolor{red}{m} \left(m + 1\right) \textcolor{red}{+ 4} \left(m + 1\right)$

now distribute the brackets and collect 'like terms'

$\Rightarrow {m}^{2} + m + 4 m + 4 = {m}^{2} + 5 m + 4$