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x^2(x + y) is divisible by y^2(y - x)^2

Source: 2007 Bosnia & Herzegovina JBMO TST p2

May 27, 2020
number theorydivisibledivides

Problem Statement

Find all pairs of relatively prime numbers (x,yx, y) such that x2(x+y)x^2(x + y) is divisible by y2(yāˆ’x)2y^2(y - x)^2. .
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