If x = y = 333 and z = 334, then the value of x³ + y³ + z³ – 3xyz 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 a = 2·361, b = 3·263 and c = 5·624, then the value of a³ + b³ – c³ + 3abc is

if 2x² – 7x + 5 =0, then what is the value of $$x^2+{25\over 4x^2}$$

If 27(x+y)³ – 8(x-y)³=(x+5y)(Ax²+By²+Cxy), then what is the value of (A+B-C)?

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 = $$ \sqrt {256}$$
 (ii) 2y² – 9y + 10 = 0

What is the simplified form the expression (1+x)(1+x²)(1+x⁴)(1+x⁸)(1-x)?