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The coefficient of x^(-3) in the expansi...

The coefficient of `x^(-3)` in the expansion of `(x-m/x)^(11)` is a. `-924 m^7` b. `-792 m^5` c. `-792 m^6` d. `-330 m^7`

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To find the coefficient of \( x^{-3} \) in the expansion of \( \left( x - \frac{m}{x} \right)^{11} \), we can follow these steps: ### Step 1: Write 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, \( a = x \), \( b = -\frac{m}{x} \), and \( n = 11 \). Thus, the general term becomes: ...
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