# How do you simplify -1/3(6h+15)?

Apr 20, 2016

$= - \left(2 h + 15\right)$

#### Explanation:

$\textcolor{b l u e}{- \frac{1}{3}} \left(6 h + 15\right)$

Method 1:
$= \textcolor{b l u e}{\left(- \frac{1}{3}\right)} \cdot \left(6 h\right) + \textcolor{b l u e}{\left(- \frac{1}{3}\right)} \cdot \left(15\right)$

$= \textcolor{b l u e}{\left(- \frac{1}{\cancel{3}}\right)} \cdot \left(\cancel{6} h\right) + \textcolor{b l u e}{\left(- \frac{1}{\cancel{3}}\right)} \cdot \left(\cancel{15}\right)$

$= - 2 h - 15$

$= - \left(2 h + 15\right)$

Method 2:

$\textcolor{b l u e}{- \frac{1}{3}} \cdot \left(6 h + 15\right)$

$3$ is common to both terms within the bracket.

$= \textcolor{b l u e}{- \frac{1}{3}} \cdot \textcolor{g r e e n}{\left(3\right)} \cdot \left(2 h + 5\right)$

$= \textcolor{b l u e}{- \frac{1}{\cancel{3}}} \cdot \textcolor{g r e e n}{\left(\cancel{3}\right)} \cdot \left(2 h + 5\right)$

$= - \left(2 h + 15\right)$