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math problem  help
Posted:
Oct 3, 2013 9:43 PM


Hi, I come here once in a while to get some confusions cleared up or get hints on how to solve something. I teach my daughter who is in middle school and we come across some problems that stump us. Any hints would be appreciate.
The one below, I am missing something in terms of simplifying or some series or something. Basically, I have tried combining all the terms after expanding it and could not got to a solution that would simplify it to prove. It stays in a the expanded form pretty much.
Prove that:
((1/(a^2+1)) + ((1/(b^2+1)) + ((1/(c^2+1)) <= 1/2
<=  less than or equal to 1/2
I have grouped them together in several ways, but not come close to simplifying the expanded equation. I thought I could be missing a simple clue, but cannot come up with it for the past 2 hours. Its not homework, but practice which she could not do it and I tried it but have not been able to simplify. Thannks for the help.
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