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Principle of Mathematical Induction

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November 14th, 2022

Theory of Numbers (XVI)
Principle of Mathematical Induction

Prove that if n is an odd positive integer, then x + y is a factor of x^n + y^n.
(For example, if n = 3, then x^n + y^n = ( x + y )( x^2 – xy + y^2 ) )

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