MathDB

7

Part of 1987 Mexico National Olympiad

Problems(1)

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

Source: 1st Mexican Mathematical Olympiad 1987 OMM P7

7/27/2018
Show that the fraction n2+n−1n2+2n \frac{n^2+n-1}{n^2+2n} is irreducible for every positive integer n.
number theoryIrreducible