A little tricky part 3

Algebra Level 4

bca3(2b+c)+abc3(2a+b)+cab3(2c+a)\large \dfrac{bc}{a^3(2b+c)}+\dfrac{ab}{c^3(2a+b)}+\dfrac{ca}{b^3(2c+a)} If a,ba,b and cc are positive reals satisfying a+b+c=3abca+b+c=3abc, find the minimum value of the expression above.

Submit your answer to 2 decimal places

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