If `x+y+z=0`, then `x^3+y^3+8` equals

If x + y + z= 0 , then x^3 + y^3 + z^3 is equal to :

If x+y+z=0 then x^3+y^3+z^3+3xyz equal to

If x-2y+2z=0, then x^(3)-8y^(3)+8z^(3) is equal to

If x + y + z = 0 , then ( x + y - z)^(3) + ( y + z - x)^(3) + (z + x - y) ^(3) = k (xyz) , where k is equal to :

If x =a, y=b, z=c is a solution of the system of linear equations x + 8y + 7z =0, 9 x + 2y + 3z =0, x + y+z=0 such that point (a,b,c ) lies on the plane x + 2y + z=6, then 2a+ b+c equals

If 2x+3y+z=0 , then (8x^(3)+27y^(3)+z^(3))-:xyz is equal to

if x^(1//3)+y^(1//3)-z^(1//3)=0 , then {(x+y-z)^3+27 xyz} is equal to