(x + y + z)^3 = x^3 + y^3 + z^3 + 3[(x + y + z)(xy +xz + yz)] - 3xyz (x + y + z)^3 - 3[(x+y+z)(xy + yz + zx)] = x^3 + y^3 + z^3 - 3xyz (9)^3 - 3(9)(20) = 189.
If x, y, z are 3 non zero positive integers such that x+y+z = 8 and xy+yz+zx = 20, then What would be minimum possible value of x*y^2*z^2
The temperature on a unit sphere x^2 + y^2 + z^2 = 1, is given by a temperature distribution
T(x,y,z) = 50.(xy + yz)
What is the temperature difference between the coldest and warmest point on the sphere?
x, y, z and k are four non zero positive integers satisfying 1/x + y/2 = z/3 + 4/k, minimum integral value of k for integral value of x, y and z will be
