# How do you find the product of (t+4)(t-3)?

Jul 19, 2016

Use the distribution property.

#### Explanation:

In the destitution property each part of the parenthesis must be multiply by each part of the other parenthesis.

So multiply $t$ times $t$ and $t$ times $- 3$. This gives

$t \cdot \left(t - 3\right) = {t}^{2} - 3 t$

Then multiply $+ 4$ times $t$ and $+ 4$ times $- 3$. This gives

$4 \cdot \left(t - 3\right) = 4 t - 12$

Last add $4 t$ and $- 3 t$ resulting $+ t$. The complete answer is

${t}^{2} + t - 12$