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.

 

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.

Published

Leave a Reply

Fill in your details below or click an icon to log in:

Gravatar
WordPress.com Logo

You are commenting using your WordPress.com account. ( Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. ( Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. ( Log Out /  Change )

Cancel

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.