# How do you factor 16m + 4n - 12p?

Mar 19, 2016

$16 m + 4 n - 12 p = 4 \left(4 m + n - 3 p\right)$

#### Explanation:

Without any more information about $m$, $n$ and $p$ all you can do is separate out the common scalar factor $4$ as follows:

$16 m + 4 n - 12 p$

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

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