# How do you distribute 13x(3y + z)?

Sep 28, 2014

For this property, I'm going to start with the definition and, then, do an example after.

The Distributive Property:

$a \left(b + c\right) = a b + a c$ ---- (i)

Where $a$, $b$ and $c$ are any real numbers.

First, let me remind you what it means when two letters are right next to each other in math. This is an Algebra thing!

$a \cdot \left(b + c\right) = a \cdot b + a \cdot c$
When two things are next to each other, it means multiplication!

$13 x \left(3 y + z\right)$

$a \left(b + c\right) = a b + a c$ ---- (i)
as per the equation (i) $a = 13 x$ , $b = 3 y$ , $c = z$

$13 x \left(3 y + z\right) = 13 x . 3 y + 13 x . z$

$= 13 \cdot 3 \cdot x \cdot y + 13 x \cdot z$

$= 39 x y + 13 x z$