# How do you find the reverse distributive property of  3p - 6q + 12r?

May 23, 2017

Divide out the highest common factor from the terms.
$3 \left(p - 2 q + 4 r\right)$

#### Explanation:

This process would be the same as 'factorise'.

What factor do all of the terms contain?

That number would have been in front of a bracket and have been multiplied by all the terms in the bracket.

$\textcolor{red}{3} p - \textcolor{red}{6} q + \textcolor{red}{12} r \text{ } \leftarrow$ all multiples of $3$

$= \textcolor{red}{3} \left(p - 2 q + 4 r\right)$

If you now apply the distributive property you will end up with the expression you started with.