Find the coefficent of `x^(32) and 1/x^(17) " in the expansion of "(x^(4)-1/x^(3))^(15)`

Explanation

To find the coefficients of \(x^{32}\) and \(x^{-17}\) in the expansion of \((x^4 - \frac{1}{x^3})^{15}\), we will use the Binomial Theorem.

### Step 1: Write the General Term
The general term \(T_{r+1}\) in the expansion of \((a + b)^n\) is given by:

\[ T_{r+1} = \binom{n}{r} a^{n-r} b^r \]
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