If x - \(\frac{1}{x}\) = 2\(\sqrt{15}\) then find the value of  x3 + \(\frac{1}{x^3}\)

488 234 345 100

488

⇒ If x - \(\frac{1}{x}\) = a then x + \(\frac{1}{x}\) = \(\sqrt {a^2 + 4}\) and If x + \(\frac{1}{x}\) = a then ⇒ x3 + \(\frac{1}{x^3}\) = a3 - 3a ATQ, x - \(\frac{1}{x}\) = 2\(\sqrt{15}\), then  ⇒ x + \(\frac{1}{x}\) = \(\sqrt {(2\sqrt{15})^2 + 4}\) = 8 ⇒ x3 + \(\frac{1}{x^3}\) = 83 - 3 × 8 = 488