Mathematics: Every product of two numbers is the difference of two squares.

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Sunday, April 8, 2012

Every product of two numbers is the difference of two squares.

Every product is the difference of two squares. 3 * 5 = 15 (5-3)/2 = 2/2 = 1 (5+3)/2 = 8/2 = 4 4^2 - 1^2 = 4*4 - 1*1 = 16 - 1 = 15 3 * 7 = 21 (7-3)/2 = 4/2 = 2 (7+3)/2 = 10/2 = 5 5^2 - 2^2 = 25 - 4 = 21 5 * 7 = 35 (7-5)/2 = 1 (7+5)/2 = 6 6^2 - 1^2 = 35 3*11 = 33 (11-3)/2 = 4 (11+3)/2 = 7 7^2 - 4^2 =... Sign in to see full entry.

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