Given that x³ + y³ = 72 and xy = 6 with x > y. Then the value of (x – y) is

If a + b = 1 and a³ + b³ + 3ab = k, then the value of k 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) 12x² + 11x + 2 = 0
(ii) 12y²+ 7y + 1 = 0

if 2x + 3y = 17 and 2x+2 – 3y+1 = 5, then :

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 x² + x = 5 then the value of   $${(x+3)^3}+{1\over (x+3)^3}$$ 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 $$ {1\over {a+1}}+{2a+1\over{a^{2}-1}}$$ ?