Given that x³ + y³ = 72 and xy = 6 with x > y. Then the value of (x – y) 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

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 2x² + 9x + 9 = 0
 (ii) 15y² + 16y + 4 = 0

If   $$x+{1\over x}=2 $$ then the value of    $$x^{12}-{1\over x^{12}} $$ is

If (10 a³+4b³):(11a³-15b³)=7:5, then (3a+5b):(9a-2b)=?

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

if $${{x^{24}+1}\over x^{12}}=7$$ then the value of   $${{x^{72}+1}\over x^{36}}$$ is

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