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OMM 1987 Problem 7

    Demuestre que si nn es un entero positivo, entonces

    n2+n−1n2+2n\frac{n^2 + n - 1}{n^2 + 2n}

    es una fracción irreducible (simplificada).

    Official text Mexican Mathematical Olympiad 1987 official paper, page 1. Quoted with source.

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