Binomial coefficient relation

Shew that the $n^{e x t t h}$ coefficient in the expansion of $(1 - x)^{- n}$ is double of the $(n - 1)^{e x t t h}$ .

~10 minProof · checked by AIbinomial theoremseries expansion

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIV. Binomial Theorem: Any Index, Examples XIV.b, No. 37

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