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  4. The coefficient of x4 in (1-x)-3 (where .|x|<1) is

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Q. The coefficient of $x^4$ in $(1-x)^{-3}$ (where $\left.|x|<1\right)$ is

Binomial Theorem

Solution:

General term in the expansion of $(1-x)^{-3}$ is ${ }^{3+r-1} C_r x^r={ }^{r+2} C_r x^r$