Factor this completely

Question

v²-4 

Answer 1

Hello, thank you for taking the time to post your question!

This is a difference of squares term, since both v^2 and 4 are perfect squares of “v” and “2”. That means that the expression can be rewritten as

v^2 – 4 = (v – 2)(v + 2)

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

This is a difference of squares, a²-b², which factors as follows:

 

a²-b² = (a+b)(a-b)

 

In your case, we have:

 

v²-2² = (v+2)(v-2)