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Applying Common Algebraic Identities and Factorizations

Topics in Applying Common Algebraic Identities and Factorizations

Numbered in the order to learn them.

  1. Pythagorean Triples (x^2+y^2=z^2), Etc.

  2. Some Linear Diophantines

  3. Abstract Perspective on Rationalizing by Conjugates

  4. Sums of 2 Squares (Fermat's Christmas Theorem)

  5. Algebraic Norm/Conjugates

  6. Rationalizing by Squaring: Equations with up to 3 Radicals

  7. Minkowski: Representing Integers as Sums of 4 Squares

  8. Cardano's Formula from a^3+b^3+c^3-3abc

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