# How do you use the distributive property to simplify 4(x+3)?

Jun 28, 2017

$4 x + 12$

#### Explanation:

Multiply the number in the front by everything else in the brackets, so you get:
$4 \cdot x + 4 \cdot 3$
$= 4 x + 12$

Jun 28, 2017

$4 x + 12$

#### Explanation:

$\text{multiply each term in the bracket by } \textcolor{red}{4}$

$\Rightarrow \textcolor{red}{4} \left(x + 3\right)$

$= \left(\textcolor{red}{4} \times x\right) + \left(\textcolor{red}{4} \times 3\right)$

$= 4 x + 12 \leftarrow \textcolor{b l u e}{\text{ simplified}}$