If x + 1/x = 2, then x3 + 1/x3 is equal to-

If x + 1/x = 2, then x³ + 1/x³ is equal to-

A 64

B 14

C 8

D 2

Solution

Correct Answer: Option D

x³ + 1/x³ = (x + 1/x)³ - 3.x.1/x(x + 1/x)
= (2)³ - 3.2
= 8 - 6
= 2