AoPS Wiki talk:Problem of the Day/July 14, 2011
Problem
AoPSWiki:Problem of the Day/July 14, 2011
Solution
We begin by factoring the given expression, , to . Then, writing this as multiple products and shifting the indices for clarity, we get . Clearly, this equals . At this point, all that is left is arithmetic. The expression equals . This trivially simplifies to .