x = y = 333 and z = 334, then value of x³ + y³ + z³ – 3xyz is 

If average of two x and $$1\over x$$ (where x ≠ 0) is A, what will be the average of x³ and $$1\over {x^3}$$?

If  $${3-5x\over 2x}+{3-5y\over 2y}+{3-5z\over 2z}=0$$ then the value of  $${2\over x}+{2\over y}+{2\over z}$$ is:

If $$ x={\sqrt3\over{2}}$$ then the value of $$ \sqrt{1+x}-\sqrt{1-x}$$ will be

Solve the following equation.

If $${x}^2+{y}^2x+1=0$$ then the value of $$x^{31}+y{35}$$ is

If x²+y²+z² = xy + yz + zx, then the value of $${3x^4+7y^4+5z^4}\over{5x^2y^2+7y^2z^2+3z^2x^2} $$ is

If   $$ {{x+1}\over4x}={5\over 2}$$ then what is the value of   $$ 64x^6+1\over 8x^3  $$