If x² + x = 5 then the value of   $${(x+3)^3}+{1\over (x+3)^3}$$ is

If P = 99, then the value of P(P²+3P+3) is

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

If   $$x+{1\over x}=2 $$ then the value of    $$x^{12}-{1\over x^{12}} $$ 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) 6x² – 11x + 4 = 0
 (ii) 3y² – 5y + 2 = 0

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

A complete factorization of x⁴+64 is