What are the main notable products in algebra?


I. Multiplication of two binomials with a common term (Stevin's Identity)
II. Development of a binomial squared (Perfect square trinomial)
III. Legendre's identities
IV. Difference of squares
V. Development of a trinomial squared
VI. Development of a binomial cubed
VII. Cauchy's identities
VIII. Sum and difference of cubes
IX. Development of a trinomial cubed
X. Lagrange's identities
XI. Argand's identities
XII. Gauss' identity
XIII. Conditional equalities
XIV. Solved problems
XV. Proposed problems
XVI. Keys