Problem 32

Algebra Level 5

\[\frac{2}{a^2+1}-\frac{2}{b^2+1}+\frac{3}{c^2+1}\]

Given that \(a,b,c\) be real numbers such that \(abc+a+c=b\).Find the maximum value of the expression above.

Give your answer to two decimal places.


Vietnam TST.
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