# So which one is it?

Algebra Level 4

$\frac{ab}{a^{2}+3b^{2}}+\frac{cb}{b^{2}+3c^{2}}+\frac{ac}{c^{2}+3a^{2}}$

If the maximum value of the above inequality is $$M$$ for positive numbers $$a,b,c$$. What is the value of $$4M + 4$$?

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