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

If x-1 x=7, f...

Question

If $x - \frac{1}{x} = 7$ , find the value of $x^{3} - \frac{1}{x^{3}}$

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Solution

In the given problem, we have to find the value of

Given

We shall use the identity

Here putting,

Hence the value of is

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x + \frac{1}{x} = 5

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