#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

Stuck? A gentle nudge

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.