How many ways can you solve this?

Algebra Level 3

$\large 16\left(\dfrac{a^2}{b+2c}+\dfrac{b^2}{c+2a}+\dfrac{c^2}{a+2b}\right)$ If $a,b$ and $c$ are positive reals satisfying $a^2+b^2+c^2=3$ , find the minimum value of the expression above