How many ways can you solve this?

Algebra Level 3

16(a2b+2c+b2c+2a+c2a+2b)\large 16\left(\dfrac{a^2}{b+2c}+\dfrac{b^2}{c+2a}+\dfrac{c^2}{a+2b}\right) If a,ba,b and cc are positive reals satisfying a2+b2+c2=3a^2+b^2+c^2=3, find the minimum value of the expression above

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