An Easy Way And A Hard Way II

Algebra Level 4

9a2+9abab+bc+6b2+6bcac+bc+4c2+4acab+ac\large \frac{9a^{2}+9ab}{ab+bc}+\frac{6b^{2}+6bc}{ac+bc}+\frac{4c^{2}+4ac}{ab+ac}

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

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