# At a Glance - Distributive Property

Let's review the properties using variables instead of numbers:

Commutative
Associative
Inverse
Identity

The properties above do NOT work with subtraction and division.

Here's a handy visual aid on reviewing the properties:

## Distributive Property

This one is very important when working with algebraic expressions. It basically says this:

and

However, the distributive property does NOT work when the variables inside the parentheses are being multiplied or divided.

and

Let's go through an example very carefully:

By applying the distributive property, we can multiply each term inside the parentheses by 4. This is called "distributing".

Since 12x and 4 are not like terms, this is as far as we can go with the problem.

Well, what about subtraction? Let's look at a subtraction problem using two different methods.

Method 1
Leave as Subtraction
Method 2

#### Exercise 1

Use the distributive property to simplify

#### Exercise 2

Use the distributive property to simplify