Question

if x+1/x=a then x³+1/x³​

Answer 1

Answer:

a³

Step-by-step explanation:

x+1/x = a

x³+1/x³

= a³

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Answer 2

Answer:

${x}^{3} + { (\frac{1}{x}) }^{3} \\ = (x + \frac{1}{x})({x}^{2} + \frac{1}{ {x}^{2} } - x \times \frac{1}{x})$

$= a.( {a}^{2} - 2 - 1) \\ = {a}^{3} - 3a$