# How do you simplify (2p-5)/(4p^2-20p+25)?

Feb 15, 2017

See the entire simplification process below:

#### Explanation:

The denominator of this fraction can be factored as:

$\frac{2 p - 5}{4 {p}^{2} - 20 p + 25} \to \frac{2 p - 5}{\left(2 p - 5\right) \left(2 p - 5\right)}$

We can now factor the numerator and denominator as:

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2 p - 5}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2 p - 5}}} \left(2 p - 5\right)} \to$

$\frac{1}{2 p - 5}$ Where $p \ne 2.5$