An algebra problem by Pishi Meow

Algebra Level 2

(a+bc)2+(b+ca)2+(c+ab)2 \left( \dfrac {a+b} c \right)^2 + \left( \dfrac {b+c} a \right)^2 + \left( \dfrac {c+a} b \right)^2

Given that a,ba,b and cc are positive real numbers, find then minimum value of the expression above.

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