If (m + 1) = √n + 3, the value of   is

If (x + y)³ +8 (x - y)³ = (3x+ Ay)(3x²+ Bxy+ Cy²), then the value of A+B+C 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) 2x³ =
 (ii) 2y² – 9y + 10 = 0

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

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

The expression   is equal to:

If x² + x = 5 then the value of   is