Factor the following equation: 16x2 - 36 Make sure to EXPLAIN how/why that is the answer.

4(2x-3)(2x+3)

Step-by-step explanation:

The first thing you would do is find the greatest common factor (the biggest number that goes into both of them.

Common factors

1,2,4

So the greatest common factor would be 4 so then you would divide both numbers by 4 and bring it to the outside like so.

4(4x2 - 9)

then you would take it out to where it would multiple to get the same number, like this.

4(2x-3)(2x+3)