Difference of Two Powers (Index)

Algebra II, Precalculus, Theorems 1 Minute

I’m doing something that I should have done a long time ago: collecting a series of posts into one single post. The following links comprised my series on getting students to discover the formula for factoring x^n - y^n.

Part 1: A numerical way of discovering the formula for x^2 - y^2.

Part 2: A geometric way of discovering the formula for x^2 - y^2.

Part 3: Pedagogical thoughts on the importance of students discovering the formula for x^3 - y^3.

Part 4: A geometric way of discovering the formula for x^3 - y^3.

Part 5: Guiding students to the formula for x^n - y^n.

 

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Published by John Quintanilla

I'm a Professor of Mathematics and a University Distinguished Teaching Professor at the University of North Texas. For eight years, I was co-director of Teach North Texas, UNT's program for preparing secondary teachers of mathematics and science.

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