Question

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

Answer 1

See below.

Explanation:

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

`( r - 7) \cdot \frac { 5} { ( r + 6) ( r + 4) }`

Since nothing else simplifies, our solution is just:

`\frac { 5( r - 7) } { ( r + 6) ( r + 4) }`