(A + B + C) cubed
January 2000, Volume 93, Issue 1, Page 6
Ways to expand the trinomial (A + B + C) to the 3rd power. The author connects this expansion with a standard method of binomial expansion. The author asks the question, "What is the area of a square whose side measures A + B?" then moves strategically to the question "What is the volume of a cube whose side measures A + B + C?" He continues by looking for an algebraic shortcut to find the product.
Reasoning and Proof