If \(x - \dfrac{1}{x} = u\), express \(x^3 - \dfrac{1}{x^3}\) and \(x^5 - \dfrac{1}{x^5}\) in terms of \(u\).
Counting & Binomials
Question
If \(x - \dfrac{1}{x} = u\), express \(x^3 - \dfrac{1}{x^3}\) and \(x^5 - \dfrac{1}{x^5}\) in terms of \(u\).