Question

Please answer with correct steps.​

Answer 1

$given \: \: \: \: x - \frac{1}{x} = \sqrt{3} \\ {x}^{3} - \frac{1}{ {x}^{3} } = ( {x - \frac{1}{x} })^{3} + 3(x - \frac{1}{x} ) \\ = ( { \sqrt{3} })^{3} + 3 \sqrt{3} \\ = 3 \sqrt{3} + 3 \sqrt{3} \\ = 6 \sqrt{3}$