# How do you simplify (n+3)/(2n+8) *( 6n-24)/(2n+1)?

Sep 3, 2015

$\frac{n + 3}{n + 4} \cdot \frac{3 \left(n - 4\right)}{2 n + 1}$

#### Explanation:

There's really not much you can do to simply this expression. Your only option is to factor the denominator of the first fraction and the numerator of the second fraction to get

$\frac{n + 3}{2 \left(n + 4\right)} \cdot \frac{6 \left(n - 4\right)}{2 n + 1}$

You can now simplify the expression to get

$\frac{n + 3}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} \left(n + 4\right)} \cdot \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}} 3 \left(n - 4\right)}{2 n + 1}$

$\frac{n + 3}{n + 4} \cdot \frac{3 \left(n - 4\right)}{2 n + 1}$