# How do you use the distributive property to simplify 10(2+y+z)?

Apr 6, 2018

$10 y + 10 z + 20$

Here's how I did it:

#### Explanation:

The distribute property for addition is as follows:

(imgur.com)

So let's look at our problem, $10 \left(2 + y + z\right)$:
$10 \cdot 2 = 20$

$10 \cdot y = 10 y$

$10 \cdot z = 10 z$

And when we combine them together we get:
$20 + 10 y + 10 z$

We usually the expression with variables first and in alphabetical order, so I'm going to reorganize it to:
$10 y + 10 z + 20$

Hope this helps!