Question

If
$x + \frac{1}{x} = - 2$
then find
${x}^{3} + ( \frac{1} {x})^{3}$


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Answer 1

Step-by-step explanation:

$x + \frac{1}{x} = - 2 \\ \\ {x}^{3} + \frac{1}{ {x}^{3} } \\ (x + \frac{1}{x} ) {}^{3} \\ ( { - 2})^{3} \\ - 8$

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