Fermat's factorization method: Difference between revisions

Revision as of 13:42, 23 October 2021

Revision as of 09:53, 24 October 2021

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==Factorization with rectangles==

The method can be modified to use rectangles instead of squares, by adding a constant c: <math>(a+c) \times a - (b+c) \times b = (a-b) \times (a+c+b)</math>

==Factorization with cubes==

<math>a^3 - b^3 = (a-b) /times (a+b) /times a+ a /times b</math>

==Factorization with cuboids==

<math>(a+c) /times a^2 - (b+c) /times b^2 = (a-b) /times ((a+b+c) /times a + (b+c) /times b)</math>

==See also==