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SMO 2005 Senior Round 1 Question 15

SMO · SMO 2005 Senior Round 1

Question 15

Simplify
$$\frac{2005^2(2004^2-2003)}{(2004^2-1)(2004^3+1)}\times\frac{2003^2(2004^2+2005)}{2004^3-1}.$$