If x = 332, y = 333, z = 335, then the value of x³ + y³ + z³ – 3xyz is

$$x+{1\over x}=2$$ and x is real, then the value of $$x^{17}+{1\over x^{19}}$$ is

if $${{5x-7}\over 3}+2={{4x-3}\over 4}+4x$$, then the value of (8x+5) is

If (m + 1) = √n + 3, the value of   $${1\over 2}\left({m^3-6m^2+12m-8\over \sqrt { n}}-n \right)  \ $$ is

if 2x² – 7x + 5 =0, then what is the value of $$x^2+{25\over 4x^2}$$

If x = 2 - 2^1/3 + 2^2/3, then the value of x³– 6x² + 18x + 18 is

$$ {1\over {^3\sqrt{4}+{^3\sqrt{2}}}+1}=a^3\sqrt{4}+ b^3\sqrt{2}+c $$ and a, b, c are rational numbers, then a + b + c is equal to

If p, q, r are all real numbers, then (p – q)³ + (q – r)³ + (r – p)³ is equal to