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Q. If \(x + \frac{1}{x} = 5\), what is the value of \(x^3 + \frac{1}{x^3}\)?
For \(x + \frac{1}{x} = k\), the formula for \(x^3 + \frac{1}{x^3} = k^3 - 3k\).
Here \(k = 5 \implies 5^3 - 3(5) = 125 - 15 = \mathbf{110}\). Answer is (B).
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