# How do you factor 4m(4 - m) + 3n(4 - m)?

Jun 2, 2018

$\left(4 - m\right) \left(4 m + 3 n\right)$

#### Explanation:

notice:

 4mcolor(red)((4 - m )) + 3ncolor(red)(( 4 - m )

$\textcolor{red}{\left(4 - m\right)}$ is common in each, this whole term can be factored out

$\implies \textcolor{red}{\left(4 - m\right)} \left[4 m + 3 n\right]$

color(blue)( = ( 4-m )( 4m + 3n)

This is the most simplified factorisation