Maximum of a expression

Algebra Level pending

Find maximum of the following expression: 1 a 2 + b c + 1 b 2 + c a + 1 c 2 + a b a + b + c 2 a b c \frac{\frac{1}{a^2+bc}+\frac{1}{b^2+ca}+\frac{1}{c^2+ab}}{\frac{a+b+c}{2abc}} in which: a,b, c >=0.


The answer is 1.

Aaaaa Bbbbb by aaaaa bbbbb , 39, Vietnam

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1 solution

Galen Buhain
Jun 15, 2015

1 because it is 1

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