Difference of Two Powers (Index)

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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