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In the expansion of (x-(3)/(x^(2)))^(30)...

In the expansion of `(x-(3)/(x^(2)))^(30)`, find the `5^(th)` term.

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To find the 5th term in the expansion of \((x - \frac{3}{x^2})^{30}\), we can use the Binomial Theorem. The Binomial Theorem states that for any positive integer \(n\), the expansion of \((a + b)^n\) can be expressed as: \[ T_{r+1} = \binom{n}{r} a^{n-r} b^r \] where \(T_{r+1}\) is the \((r+1)^{th}\) term, \(a\) is the first term, \(b\) is the second term, and \(\binom{n}{r}\) is the binomial coefficient. ...
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