# Khang's inequality

Algebra Level 5

Suppose $$a, b, c$$ are non-negative real numbers with $$a+b+c=3$$.

Find the maximum value of:

$\large P=\dfrac{1}{a+1}+\dfrac{1}{b+1}+\dfrac{1}{c+1}-\dfrac{1}{\sqrt[5]{ab+bc+ca}}$

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