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(A + B + C) cubed

Richard Forringer 

January 2000, Volume 93, Issue 1, Page 6

Abstract:
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.

Keywords:
Article
Grades 9-12
Teacher
Manipulatives
Polynomials
Reasoning and Proof