Arnold Williams (notebuyer) wrote,
Arnold Williams
notebuyer

The Difference of Squares: Parity Note

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.
Tags: math
Subscribe

  • Lump It.

    A phrase from my youth, given to those complaining about a problem: "Lump it." Meaning: Get over it, deal with it yourself, it's not worth my time.…

  • Islamophobia

    Michael McBride has a point in response to the absurd, if not actively mendacious, posturing of the Organization of the Islamic Conference: Sorry…

  • All the Silly People, Let's Behead Them

    If this is the level of thought under Islamic Law, let's just bomb the place. MOGADISHU, Somalia — Residents of a southern Somalia town who do not…

  • Post a new comment

    Error

    Anonymous comments are disabled in this journal

    default userpic

    Your reply will be screened

    Your IP address will be recorded 

  • 0 comments