Question 146745
{{{(n+2)^2 - n^2 = n^2 + 4n +4 -n^2}}}
= 4n + 4
=4(n + 1)
Since n is odd, n+1 is even, meaning it has at least one factor of 2.
4 times that has to be divisible by 8, as it adds 2 more factors of 2.