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The Difference of Squares: Parity Note 
6th-Aug-2018 06:26 pm
Difference of Squares x^2 - a^2 has a shortcut in (x+a)*(x-a). For some applications, which employ a parity check, there is a shortcut to that, too.

If (x-a) is an odd number, the difference of squares will be odd, and if it is an even number, the difference of squares will be even.

Elementary result of the sequence of squares, all of which consecutive squares are separated by an odd number, and if we start at 1, they are all separated by the odd integers in order, see prior proofs.
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