If x + \({{1} \over x}\) = 2, then x³ + \({{1} \over x^{3}}\)=?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 2)

Answer 1

Given:

x + \({{1} \over x}\) = 2

Formula Used:

x3 + \({{1} \over x^{3}}\)= a³ - 3a

Calculations:

⇒ x + \({{1} \over x}\) = 2

⇒ here, a = 2

Now put the value of a in the formula

⇒ x3 + \({{1} \over x^{3}}\)= a3 - 3a = (2)³ - 3(2) = 8 - 6 = 2

⇒ Hence, Value of the above equation is 2