Let x y, z be three non-negative integers such that `x+y+z=10`. The maximum possible value of `xyz+xy+yz+zx` is

If x,y,z are non-negative integers such that x+y+z+xy+yz+zx+xyz=2018 then x+y+z equals (i)674(ii)1010(iil)

If x , y, z are positive reals satisfying 4xy + 6yz + 8 zx = 9 , then the greatest possible value of the product xyz is

If x , y, z are positive reals satisfying 4xy + 6yz + 8 zx = 9 , then the greatest possible value of the product xyz is

If x+y+z =10 , x^(2) +y^(2) +z^(2) =60 then value of xy+yz +zx is

If x + y + z = 0 , then the value of (x^2)/(yz) + (y^2)/(zx) + (z^2)/(xy) is:

If xyz=0 , then find the value of (a^x)^(zy)+(a^y)^(zx)+(a^z)^(xy) .

If x+y -z = 4 and x^(2) + y^(2) + z^(2) = 30 , then find the value of xy- yz- zx

If x^2+y^2+z^2= xy+yz+zx then find the value of (x+y):z.

If x=997 , y=998 z=999 then the value of x^(2)+y^(2)+z^(2)-xy-yz-zx will be