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

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

If $$ {a={1+x\over 2-x}}$$, then find the value $$ {1\over {a+1}}+{2a+1\over{a^{2}-1}}$$ ?

If m = – 4, n = – 2, then the value of m³ – 3m² + 3m + 3n + 3n² + n³ 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) 3x² + 11x + 10 = 0
 (ii) 2y² + 11y + 14 = 0

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

The HCF of x⁸ – 1 and x⁴ + 2x³ – 2x – 1 is :

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