A little tricky part 3
Algebra
Level
4
\[\large \dfrac{bc}{a^3(2b+c)}+\dfrac{ab}{c^3(2a+b)}+\dfrac{ca}{b^3(2c+a)}\] If \(a,b\) and \(c\) are positive reals satisfying \(a+b+c=3abc\), find the minimum value of the expression above.
Submit your answer to 2 decimal places
Part of the set
by
Gurīdo Cuong