Topics in Common Product Identities and Factorizations

Numbered in the order to learn them.

  1. Simon's Favorite Factoring Trick

  2. Square Root Norm Product Identities: (a^2+db^2)(x^2+dy^2)

  3. Euler Four-Square Identity

  4. Difference of Squares Factorization

  5. Factorization of a^3+b^3+c^3-3abc

  6. Sophie Germain Identity: Factoring a^4+4b^4

  7. Difference and Sum of Cubes Factorizations

  8. Differences and Sums of Powers for All Exponents N

  9. General Quadratic Norms for Eisenstein Integers, Etc.

Type a concept, like “slope” or “photosynthesis”.

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