If x + y + 3 = 0 , then find the value of x³+y³-9xy+9.

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 expression   is equal to:

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

If a + b + c = 6, a² + b² + c² = 14 and a³ + b³ + c³ = 36, then the value of abc 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 (10 a³+4b³):(11a³-15b³)=7:5, then (3a+5b):(9a-2b)=?

If , then the value of (p⁶ + q⁶ ) is