If \(x + \frac{1}{x} = 5\), find the value of \(x^3 + \frac{1}{x^3}\).
A. 115
B. 110
C. 125
D. 140
A. 115
B. 110
C. 125
D. 140
Best answer
Answer: B. 110
Answer: (B) 110
\(x^3 + \frac{1}{x^3} = \left(x + \frac{1}{x}\right)^3 - 3\left(x + \frac{1}{x}\right) = 125 - 15 = 110\).
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