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

If x 2+1 x 2=...

Question

If $x^{2} + \frac{1}{x^{2}} = 98$ , 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,

In order to find we are using identity

Here and

Hence the value of is .

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