# Max and min part 1

Algebra Level 5

$\large \frac{a}{1+bc}+\frac{b}{1+ac}+\frac{c}{1+ab}$ If $$a,b$$ and $$c$$ are non-negative reals satisfying $$a^2+b^2+c^2=1$$, find the sum of the maximum and minimum value of the expression above.