Simplify the following: (ii) (x − 3/x)(x^2 + 3 + 9/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 = $\Big(x - \dfrac{3}{x}\Big)\Big(x^2 + 3 + \dfrac{9}{x^2}\Big)$

$= x^3 - \Big(\dfrac{3}{x}\Big)^3 \\[1em] = x^3 - \dfrac{27}{x^3}$

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