Max and min part 2

Algebra Level 5

x+y+z+xy+yz+xz\large x+y+z+xy+yz+xz

If x,yx,y and zz are non-negative reals that satisfy x2+y2+z2=1x^2+y^2+z^2=1, find the sum of the maximum and minimum values of the expression above.

Submit your answer to 2 decimal places.

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