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The variable N was equated to a formula without any explanation why or proof that this equation was valid. I provided the reader the proof that this equation is valid. Tags: Reverted Visual edit |
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That difference is [[algebra]]ically factorable as <math>(a+b)(a-b)</math>; if neither factor equals one, it is a proper factorization of ''N''.
Each odd number has such a representation. Indeed, if <math>N=cd</math> is a factorization of ''N'', then via application of the Quarter Squares Rule:
:<math>N = \left(\frac{c+d}{2}\right)^2 - \left(\frac{c-d}{2}\right)^2</math>
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