An Easy Way And A Hard Way II

Algebra Level 4

\[\large \frac{9a^{2}+9ab}{ab+bc}+\frac{6b^{2}+6bc}{ac+bc}+\frac{4c^{2}+4ac}{ab+ac}\]

Given that \(a,b,c\) are positive real numbers, find the minimum value of the expression above.

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