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a^5b^3-a^3b^5 is a mutliple of 10

Source: IMAC Arhimede 2013 p1

May 6, 2019
number theorymultipledivisible

Problem Statement

Show that in any set of three distinct integers there are two of them, say aa and bb such that the number a5b3āˆ’a3b5a^5b^3-a^3b^5 is a multiple of 1010.
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