Maths Olympiad | Hidden symmetry: Why x^n+x^(-n) stays integer forever?

This video explains how to prove the algebraic expression is integer by using mathematical induction.

A nice algebraic problem
Proof by mathematical induction
British Mathematical Olympiad

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Видео Maths Olympiad | Hidden symmetry: Why x^n+x^(-n) stays integer forever? канала Maths Enhancer's Class