If \(x - \frac{1}{x} = 4\), find the value of \(x^3 - \frac{1}{x^3}\).
A. 76
B. 52
C. 60
D. 64
A. 76
B. 52
C. 60
D. 64
Best answer
Answer: A. 76
Answer: (A) 76
\(x^3 - \frac{1}{x^3} = \left(x - \frac{1}{x}\right)^3 + 3\left(x - \frac{1}{x}\right) = 64 + 12 = 76\).
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