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The coefficient of x^(-17) in the expans...

The coefficient of `x^(-17)` in the expansion of `(x^4-1/x^3)^(15)` is

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To find the coefficient of \( x^{-17} \) in the expansion of \( (x^4 - \frac{1}{x^3})^{15} \), we can follow these steps: ### Step 1: Identify the General Term The general term \( T_r \) in the binomial expansion of \( (a + b)^n \) is given by: \[ T_r = \binom{n}{r} a^{n-r} b^r \] In our case, \( a = x^4 \), \( b = -\frac{1}{x^3} \), and \( n = 15 \). Therefore, the general term becomes: ...
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