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\frac{a^2b+b}{ab^2+9} is an integer

Source: Rioplatense Olympiad 2002 level 3 P1

September 6, 2018
Integernumber theorypositive integers

Problem Statement

Determine all pairs (a,b)(a, b) of positive integers for which a2b+bab2+9\frac{a^2b+b}{ab^2+9} is an integer number.
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