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(a^2+1)(b^2+1)((a+b)^2+1) being a square

Source: Malaysian SST 2024 P5

September 5, 2024
algebra

Problem Statement

Do there exist infinitely many positive integers a,ba, b such that (a2+1)(b2+1)((a+b)2+1)(a^2+1)(b^2+1)((a+b)^2+1) is a perfect square?
Proposed Ivan Chan Guan Yu
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