Homework Statement
Prove that
x^n - y^n = (x - y) (x^(n - 1) + (x^(n - 2)y + . . . + xy^(n - 2) + y^(n - 1)Homework Equations
This is problem 3, section 1-1 from Andrew's "Number Theory," which I'm using for self-study. It follows the section on the "Principle of Mathematical Induction"...