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(n^2+n-1) / (n^2+2n) is irreducible for every n

Source: 1st Mexican Mathematical Olympiad 1987 OMM P7

July 27, 2018
number theoryIrreducible

Problem Statement

Show that the fraction n2+n−1n2+2n \frac{n^2+n-1}{n^2+2n} is irreducible for every positive integer n.
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