If \(x + \frac{1}{x} = 3\), what is the value of \(x^3 + \frac{1}{x^3}\)?
A. 18
B. 24
C. 27
D. 21
A. 18
B. 24
C. 27
D. 21
Best answer
Answer: A. 18
Answer: (A) 18
Shortcut: \(x^3 + \frac{1}{x^3} = k^3 - 3k\) where k = 3: 27 − 9 = 18.
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