Quantitative Aptitude Algebra Identities

If (x2 - \(\frac{1}{x^2}\)) = 4\(\sqrt6\), and x > 1, what is the value of (x3 - \(\frac{1}{x^3}\))?

1
20\(\sqrt2\)
2
24\(\sqrt2\)
3
18\(\sqrt2\)
4
22\(\sqrt2\)

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