# How do you write the rational expression in lowest terms (4p(p+4))/(20p^2 (p- 4))?

Oct 27, 2016

#### Answer:

You can factorize both parts of the fraction:

#### Explanation:

$= \frac{4 \cdot p \cdot \left(p + 4\right)}{4 \cdot 5 \cdot p \cdot p \cdot \left(p - 4\right)}$
$= \frac{\cancel{4} \cdot \cancel{p} \cdot \left(p + 4\right)}{\cancel{4} \cdot 5 \cdot \cancel{p} \cdot p \cdot \left(p - 4\right)}$
$= \frac{p + 4}{5 p \left(p - 4\right)}$