If `x+y+z=3` and `x,y,z in R`, the maximum value of `((x+y)(y+z)(z+x))/(8)` is:

If x, y, z are in H.P., then the value of (x+y)/(y-x)+(y+z)/(y-z) is

If x, y and z are three non-zero numbers such that x + y le z -x, y + z le x -y and z + x le y -z , the maximum value of x + y + z is __________.

Value of (x-y)^(3) +(y-z)^(3) +(z-x)^(3) is

If (x^(y))^z =2^(8) then find the maximum possible value of (x)(y)(z) where x,y,z gt 0

If x , y, z in R, x + y + z= 4 and x^(2) + y^(2) + z^(2) = 6 , then the maximum possible value of z is