# A technique will solve this easily

Algebra Level 1

$\large \dfrac{1}{a^2}+\dfrac{1}{b^2}+\dfrac{1}{c^2}+\dfrac{2(a^2+b^2+c^2)}{3}$ Let $a,b$ and $c$ be positive reals satisfy $a+b+c=3$. Find the minimum value of the expression above.