# My problems #14

**Algebra**Level 5

\[\dfrac{kabc} {a+b+c} \leq (a+b)^2+(a+b+4c)^2\],

\(\forall\) \(a, b, c > 0\), find the largest constant \(k \) such that the above inequality is fulfilled

\[\dfrac{kabc} {a+b+c} \leq (a+b)^2+(a+b+4c)^2\],

\(\forall\) \(a, b, c > 0\), find the largest constant \(k \) such that the above inequality is fulfilled

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