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IMO Can you prove that (a₂ + 1)²(a₃ + 1)³⋯(aₙ + 1)ⁿ ≥ nⁿ given that a₂a₃⋯aₙ = 1 ? At first glance, this inequality looks ... IMO 2012 International Math Olympiad Problem 2

Checking when a given expression is a perfect square. We consider multiple separate cases, and consider three separate ...

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