AoPS Wiki talk:Problem of the Day/July 1, 2011
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Problem
AoPSWiki:Problem of the Day/July 1, 2011
Solution
To factor , we should try to find a way to create a quadratic in disguise. There, in fact, is a way!
Expand and separately:
We notice that there is a in both of these terms! Treat as a single quantity, .
Our original quantity was .
We can factor the original polynomial as .
Notice that can be factored as .
Our final factorization is .