Theory of Relative Squares

[xdot]

So, I have found that:
n^2 = (n-1)^2 + 2(n-1) + 1
(n+1)^2 = n^2 + 2n +1
is this essentially what you are saying?

Yours works too, mine is just easier assuming you know the square previous to it, or one relatively close.

Exactly the same.

So apparently we can only use TeX 3 times in each post? That's kinda unfortunate.

The plugin/TeX server seems to ignore multi-line scripts.