Question

answer the question given in the picture above

Answer 1

Hope u like my process
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${x}^{2} + \frac{1}{ {x}^{2} } + 2 - 2x - \frac{2}{x} \\ \\ = {(x)}^{2} + {( \frac{1}{x}) }^{2} + 2x. \frac{1}{x} - 2(x + \frac{1}{x} ) \\ \\ = (x + \frac{1}{x} )^{2} - 2(x + \frac{1}{x} ) \\ \\ = (x + \frac{1}{x} )(x + \frac{1}{x} -2 )$
Hope this is ur required answer

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