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IMC 2009 — Keystage 3 (IWYMIC) — individual Question 6

xIMC · IMC 2009 — Keystage 3 (IWYMIC) — individual

Question 6

Simplify to lowest terms $$\frac{(2^4+2^2+1)(4^4+4^2+1)\cdots(10^4+10^2+1)}{(3^4+3^2+1)(5^4+5^2+1)\cdots(11^4+11^2+1)}.$$