#1496 · Algebra · Linear equations

Middle Term Coefficient Identity

Show that the middle term of $(x + \frac{1}{x})^{4 n}$ is equal to the coefficient of $x^{n}$ in the expansion of $(1 - 4 x)^{- (n + \frac{1}{2})}$ .

~20 minProof · checked by AIBinomial TheoremCoefficient Extraction

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIV. Binomial Theorem: Any Index, Examples XIV.c, No. 13

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