Delving Deeper: Multiplying Everything Using the Difference of Two Squares

Author: David Reinstein
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Great music and stories can take us to unexpected places and bring us great joy in the process. So can numbers. In our high school courses, we often skim surfaces that cover fascinating mathematics. This article is about my exploration of the difference of two squares formula and how it relates to prime numbers. You may want to use a calculator or pencil and paper as you read this so that you can play along.

Contributor Notes

David Reinstein,, is in his eleventh year at New Trier High School, Winnetka, IL 60093, where he has taught mathematics and physics. He also coaches Scholastic Bowl. He previously taught in an inner city school and an elementary school.

(Corresponding author is Reinstein
The Mathematics Teacher


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