# How do you simplify #(sqrt12 - sqrt2)(sqrt12 + sqrt2)#?

##### 2 Answers

#### Explanation:

To simplify

So

#### Explanation:

There are two ways to solve this, and I'm going to show the longer way first.

**METHOD 1:**

To solve this, we distribute and expand using the FOIL method:

First, multiply the "firsts":

Then the "outers":

Then the "inners":

Finally the "lasts":

When we combine these expressions we get:

The

Which simplifies down to:

**METHOD 2:**

To solve this, we use:

This expression

As we can see, this is equivalent to

Simplify:

So the final answer is:

Hope this helps!