Teaching DSSSB Librarian Mock Test Quantitative Aptitude Algebra Polynomials

If \(x\left(3 - \frac 2 x\right) = \frac 3 x,\) then the value of \(x^3 - \frac 1 {x^3}\) is equal to:

1
\(\frac {62}{27}\)
2
\(\frac {52}{27}\)
3
\(\frac {61}{27}\)
4
\(\frac {8}{27}\)
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