Simplify the following: (ii) x + 1/x)(x^2 − 1 + 1/x^2)

We know that (a + b)(a 2 - ab + b 2 ) = a 3 + b 3 ∴ Given Expression =

Mathematics

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We know that (a + b)(a² - ab + b²) = a³ + b³

∴ Given Expression = $\Big(x + \dfrac{1}{x}\Big)\Big(x^2 - 1 + \dfrac{1}{x^2}\Big)$

$= x^3 + \dfrac{1}{x^3}$

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