# How do you multiply and simplify \frac { ( r + 4) ( r - 7) } { r + 4} \cdot \frac { 5} { ( r + 6) ( r + 4) }?

Jul 9, 2017

See below.

#### Explanation:

We see that the first fraction can simplify, as they both have a $r + 4$ term. This product then becomes:

$\left(r - 7\right) \setminus \cdot \setminus \frac{5}{\left(r + 6\right) \left(r + 4\right)}$

Since nothing else simplifies, our solution is just:

$\setminus \frac{5 \left(r - 7\right)}{\left(r + 6\right) \left(r + 4\right)}$