# How do you simplify 6(10m+10)?

Mar 4, 2018

The result is $60 m + 60$.

#### Explanation:

Use the distributive property, which looks like this:

$\textcolor{red}{a} \left(\textcolor{b l u e}{x} + \textcolor{g r e e n}{y}\right) = \textcolor{red}{a} \cdot \textcolor{b l u e}{x} + \textcolor{red}{a} \cdot \textcolor{g r e e n}{y}$

Now, use this in our problem (I'll color-code each term to it's easier to see):

$\textcolor{w h i t e}{=} 6 \left(10 m + 10\right)$

$= \textcolor{red}{6} \left(\textcolor{b l u e}{10 m} + \textcolor{g r e e n}{10}\right)$

$= \textcolor{red}{6} \cdot \textcolor{b l u e}{10 m} + \textcolor{red}{6} \cdot \textcolor{g r e e n}{10}$

$= \textcolor{red}{6} \cdot \textcolor{b l u e}{10 m} + \textcolor{b r o w n}{60}$

$= \textcolor{p u r p \le}{60 m} + \textcolor{b r o w n}{60}$

That's the answer. Hope this helped!