### If x^3+y^3+z^3 = x^2+y^2+z^2 = x+y+z = 1,

### There could be 3 possibilities.

(1) x=0, y=0, z=1

(2) x=0, y=1, z=0

(3) x=1, y=0, z=0

+1 vote

If x^3+y^3+z^3 = x^2+y^2+z^2 = x+y+z = 1 then what would be the max value of xyz?

...