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• Factoring
  Using the formula for the sum of a [[geometric sequence]], it's easy to derive the general formula for difference of powers: == Vieta's/Newton Factorizations ==
  3 KB (532 words) - 22:00, 13 January 2024
• Algebra/Intermediate
  ** [[Vieta's Formulas]] ** [[Newton's Sums]]
  2 KB (198 words) - 17:47, 3 November 2021
• 1987 AIME Problems/Problem 14
  == Solution 1 (Sophie Germain Identity) == ....</math> Each of the terms is in the form of <math>x^4 + 324.</math> Using Sophie Germain, we get that
  7 KB (965 words) - 23:39, 11 September 2024
• Mock AIME 1 2007-2008 Problems/Problem 12
  (If you recall the reverse of [[Sophie Germain Identity]] with <math>a=a,\, b = 2^{(a-1)/2}</math>, then you could By [[Fermat's Little Theorem]], we have that <math>a^{4} \equiv 1 \pmod{5}</math> if <mat
  2 KB (237 words) - 12:08, 10 March 2012
• 2020 AMC 10B Problems/Problem 22
  ...with polynomial division, but the numerator looks awfully similar to the [[Sophie Germain Identity]], which states that <cmath>a^4+4b^4=(a^2+2b^2+2ab)(a^2+2 Let's use the identity, with <math>a=1</math> and <math>b=x</math>, so we have
  4 KB (515 words) - 17:00, 9 October 2024