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1. $x - \frac{1}{x} = 1$

Answer: Option D

Explanation:

x - \frac{1}{x} = 1 ∴ x^{3} - \frac{1}{x^{3}} = {(x - \frac{1}{x})}^{3} + 3 . x . \frac{1}{x} (x - \frac{1}{x}) = {(1)}^{3} + 3 \times 1 = 1 + 3 = 4

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