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 = 2 - 2^1/3 + 2^2/3, then the value of x³– 6x² + 18x + 18 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 2x² – 7x + 5 =0, then what is the value of $$x^2+{25\over 4x^2}$$

If (x + y)³ +8 (x - y)³ = (3x+ Ay)(3x²+ Bxy+ Cy²), then the value of A+B+C is:

When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient=double the remainder. If the remainder is 80 then the value of x is

$$x+{1\over x}=2$$ and x is real, then the value of $$x^{17}+{1\over x^{19}}$$ is

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