If n is an integer, try to explain that (2n + 1) ^ 2 - (2n-1) ^ 2 is a multiple of 8, and write the conclusion in one sentence

If n is an integer, try to explain that (2n + 1) ^ 2 - (2n-1) ^ 2 is a multiple of 8, and write the conclusion in one sentence

Using the square difference formula
The original formula is equal to (2n + 1-2n + 1) * (2n + 1 + 2n-1)
=2*4n=8n
So it's a multiple of eight