#1480 · Algebra · Sequences & series

Transformed Binomial Expansion

Prove that $(1 + x)^{n} = 2^{n} {1 - n \frac{1 - x}{1 + x} + \frac{n ( n + 1 )}{1 \cdot 2} (\frac{1 - x}{1 + x})^{2} - \dots}$ .

~15 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. 34

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