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The absolute term (that is, term independent of $x$ ) in the expansion of ${(\frac{3}{2} x^{2} - \frac{1}{3 x})}^{9}$ is:

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Correct option is C

Tr+1=9Cr32x29−r−13xr=9Cr329−r−13rx18−3rFor term independent of x, we set 18-3r=0 or r=6. Thusterm independent of x in the expansion of 32x2−13x9is 9C6329−6−136=718

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The absolute term (that is, term independent of x) in the expansion of 32x2−13x9is:

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The absolute term (that is, term independent of $x$ ) in the expansion of ${(\frac{3}{2} x^{2} - \frac{1}{3 x})}^{9}$ is: