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x+y isn't divisor of x^n+y^n

Source:

November 2, 2009
inductionnumber theoryrelatively primeprime numbers

Problem Statement

Let x, y x,\ y be relatively prime numbers such that xy≠1 xy\neq 1. For positive even integer n n, prove that x \plus{} y isn't a divisor of x^n \plus{} y^n.
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