If `x+y+z=0` then find the value of `x^(3)+y^(3)+z^(3)`

If x = y = 222 and z = 223, then find the value of x^(3)+y^(3)+z^(3)-3xyz

If x y z=0, then find the value of (a^x)^(y z)+(a^y)^(z x)+(a^z)^(x y)= (a)3 (b) 2 (c)1 (d) 0

If x y z=0, then find the value of (a^x)^(y z)+(a^y)^(z x)+(a^z)^(x y)= (a)3 (b) 2 (c)1 (d) 0

If x=1, y=2 and z =3 then find the value of x^3 - z^3 + y^3

If x+y+z=0 then what is the value of (x^2)/(3z)+(y^3)/(3xz)+(z^2)/(3x) ?

If (x+y+z)=0 then the value of (x^3+y^3+z^3) is:

Let A=[(x,y,z),(y,z,x),(z,x,y)] , where x, y and z are real numbers such that x + y + z > 0 and xyz = 2 . If A^(2) = I_(3) , then the value of x^(3)+y^(3)+z^(3) is__________.

If x = 1, y = - 2 and z = 3. find the value of (i) x^(3) + y^(3) + z^3-3xyz (ii) 3xy^(4) - 15 x^(2) y + 4z

If x+y+z=12 and x^2+y^2+z^2=96 and 1/x+1/y+1/z=36 , then find the value of x^3+y^3+z^3