Question

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

Answer 1

Divide out the highest common factor from the terms.
`3(p-2q+4r)`

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.

`color(red)(3)p -color(red)(6)q +color(red)(12)r" "larr` all multiples of `3`

`=color(red)(3)(p-2q+4r)`

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