Question

simplify (x + 1/x) wholesquare - (x - 1/x) whloesquare

Answer 1

$4$

Step-by-step explanation:

$Given, \: \: (x + \frac{1}{x} )^{2} - (x - \frac{1}{x} )^{2} \\ = \: ( {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} ) - ( {x}^{2} + \frac{1}{ {x}^{2} } - 2 \times x \times \frac{1}{x} ) \\ = \: ( {x}^{2} + \frac{1}{ {x}^{2} } + 2) - ( {x}^{2} + \frac{1}{ {x}^{2} } - 2 ) \\ = \: {x}^{2} + \frac{1}{ {x}^{2} } + 2 - {x}^{2} - \frac{1}{ {x}^{2} } + 2 \\ = \boxed{4}$

Answer 2

Step-by-step explanation:

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