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

Find the term independent of `x` in the expansion of `(3x - (2)/(x^(2)))^(15)`.

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To find the term independent of \( x \) in the expansion of \( (3x - \frac{2}{x^2})^{15} \), we will follow these steps: ### Step 1: Write the General Term The general term \( T_{r+1} \) in the binomial expansion of \( (a + b)^n \) is given by: \[ T_{r+1} = \binom{n}{r} a^{n-r} b^r \] In our case, \( a = 3x \), \( b = -\frac{2}{x^2} \), and \( n = 15 \). Thus, the general term becomes: ...
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