If x-1x-6- find the value of -i x3-1x3ii x2-1x2

It is given that x #10;1/x = 6 #10; #10;(i) #10; #10;Cube both sides of the given equation, #10; #10; ( x 1/x #10;)^3 = 6^3 #10 ...

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If x-1x=6, ...

Question

If $x - \frac{1}{x} = 6$ , find the value of :
i) $x^{3} - \frac{1}{x^{3}}$
ii) $x^{2} + \frac{1}{x^{2}}$

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