# How do you find the reverse distributive property of t^2 - ts + 3t?

May 29, 2016

$t \left(t - s + 3\right)$

#### Explanation:

First ask yourself what number or variable is present in each term. Here we see that $t$ occurs in each term. This is the variable that we can factor out of each term.

When we factor out $t$ we must then ask ourselves what we must multiply $t$ by to get the original problem.

What must we multiply $t$ by to get ${t}^{2}$?

That would be $t$. So we start out with:

t(t

Then we ask ourselves what we multiply $t$ by to obtain $- t s$.

That would be $- s$ giving us:

t(t-s

Now for the last term we ask ourselves what we must multiply $t$ by to obtain $3 t$.

That of course would be $3$ giving us our answer of:

$t \left(t - s + 3\right)$