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
by
Gurīdo Cuong