# How do you simplify (3a + 3b)/(-a-b)?

Jul 24, 2017

$- 3$

#### Explanation:

$\frac{3 a + 3 b}{- a - b}$

Solution

$\frac{3 a + 3 b}{- a - b}$ $\Rightarrow$ $\frac{3 \left(a + b\right)}{- a - b}$

$\frac{3 \left(a + b\right)}{-} \left(a + b\right)$

$\frac{3 \cancel{a + b}}{-} \cancel{a + b}$

$\frac{3}{-} 1$

$- 3 \to A n s w e r$

Jul 24, 2017

$- 3$
Look for common terms on the top and bottom, in this case, $\frac{\textcolor{red}{3} a + \textcolor{red}{3} b}{\textcolor{b l u e}{-} a \textcolor{b l u e}{-} b}$
Factorising gives us $\frac{\textcolor{red}{3} \left(a + b\right)}{\textcolor{b l u e}{-} \left(a + b\right)}$.
Cancelling out similar terms gives us $\frac{\textcolor{red}{3} \cancel{\left(a + b\right)}}{\textcolor{b l u e}{-} \cancel{\left(a + b\right)}} = \frac{3}{- 1} = - \frac{3}{1} = - 3$