How do you simplify #(sqrt12 - sqrt2)(sqrt12 + sqrt2)#?
There are two ways to solve this, and I'm going to show the longer way first.
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:
Which simplifies down to:
To solve this, we use:
As we can see, this is equivalent to
So the final answer is:
Hope this helps!