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
.