Quantitative Aptitude Algebra Identities

If \( \left({x^2} + {{ 1} \over x^2}\right) = 6\), and 0 < x < 1, what is the value of \( {x^4} - {{ 1} \over x^4}\)?

1

\({24 \ \sqrt{2}}\)

2

\({-24 \ \sqrt{2}}\).

3

.\({-12 \ \sqrt{10}}\)

4

.\({12 \ \sqrt{10}}\)

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