# How do you use the distributive property to simplify 3(n+1)?

Aug 31, 2017

$3 \left(n + 1\right) = \textcolor{red}{3 n + 3}$

#### Explanation:

The distributive property tells us that (in general)
$\textcolor{w h i t e}{\text{XXX}} a \left(b + c\right) = a b + a c$

Aug 31, 2017

See a solution process below:

#### Explanation:

Multipy or distribute the term outside the parenthesis by each term within the parenthesis:

$\textcolor{red}{3} \left(n + 1\right) \implies \left(\textcolor{red}{3} \cdot n\right) + \left(\textcolor{red}{3} \cdot 1\right) \implies 3 n + 3$