# How do you simplify (g-9)/(g^2-81)?

Feb 7, 2017

See the entire simplification process below:

#### Explanation:

First, factor the denominator:

$\frac{g - 9}{\left(g - 9\right) \left(g + 9\right)}$

Now, cancel the like terms in the numerator and denominator:

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{\left(g - 9\right)}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{\left(g - 9\right)}}} \left(g + 9\right)}$

$\frac{1}{g + 9}$