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Find the term independent of x in the ex...

Find the term independent of x in the expansion of `(3/2x^2-1/(3x))^6`.

Text Solution

Verified by Experts

We know that
`=>T_(r+1)=n_C_ra^(n-r)b^r`
Comparing we get,
`n=18` `b= 1/(2∛x) and a=∛x`
so,`T_(r+1)=18_(C_r )(∛x)^(18-r)1/(2∛x)^r`
`=>T_(r+1)=18_(C_r)(x)^ ((18-r)/3)(1/2*1/(2∛x))^r`
`=>T_(r+1)=18_(C_r)(x)^((18-r)/3)(1/2)^r(1/(x^(1/3)))^r`
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