If x 2-1 x 2-51- find the value of x 3-1 x 3

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Expansion of (x+a)(x+b)

If x 2+1 x 2=...

Question

If $x^{2} + \frac{1}{x^{2}}$ = 51, find the value of $x^{3} - \frac{1}{x^{3}}$

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x^{2} + \frac{1}{x^{2}} = 98

x^{3} + \frac{1}{x^{3}}

If $x^{2} + \frac{1}{x^{2}} = 51$ , find the value of $x^{3} - \frac{1}{x^{3}}$ .

x^{4} + \frac{1}{x^{4}} = 194,

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x^{2} + \frac{1}{x^{2}} = 51

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If $x + \frac{1}{x} = 3$ , calculate $x^{2} + \frac{1}{x^{2}}, x^{3} + \frac{1}{x^{3}}$ and $x^{4} + \frac{1}{x^{4}}$

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