# How do you simplify (m+9) /( m+3) - (-4m -6) / ( m+3)?

Sep 10, 2016

$5$

#### Explanation:

We have: $\frac{m + 9}{m + 3} - \frac{- 4 m - 6}{m + 3}$

As the two fractions have the same denominator they can be subtracted:

$= \frac{m + 9 - \left(- 4 m - 6\right)}{m + 3}$

$= \frac{m + 9 + 4 m + 6}{m + 3}$

$= \frac{5 m + 15}{m + 3}$

The numerator can be factorised by taking $5$ in common:

$= \frac{5 \left(m + 3\right)}{m + 3}$

$= 5$