# How do you use the distributive property to rewrite and evaluate (a+7)2?

May 20, 2017

$2 a + 14$

#### Explanation:

Distributive Property : $a \left(b + c\right) = a b + a c$

Here, The Expression can be written as :

$\textcolor{w h i t e}{\text{XXX}}$$\left(a + 7\right) 2$
$=$ $2 \left(a + 7\right)$ [Commutative Property: $a \cdot b = b \cdot a$]
$=$ $2 \cdot a + 7 \cdot 2$ [Using the Distributive Property Here]
$=$ $2 a + 14$