#1417 · Algebra · Polynomials

Middle terms of binomial expansions

Show that the coefficient of the middle term of $(1 + x)^{2 n}$ is equal to the sum of the coefficients of the two middle terms of $(1 + x)^{2 n - 1}$ .

~10 minProof · checked by AIBinomial TheoremBinomial coefficients

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIII. Binomial Theorem: Positive Integral Index, Examples XIII.b, No. 7

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