#1497 · Algebra · Linear equations

Expansion Form of Cubic Power

Prove that the expansion of $(1 - x^{3})^{n}$ may be put into the form $(1 - x)^{3 n} + 3 n x (1 - x)^{3 n - 2} + \frac{3 n ( 3 n - 3 )}{1 \cdot 2} x^{2} (1 - x)^{3 n - 4} + \dots$ .

~25 minProof · checked by AIBinomial TheoremSeries Expansion

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIV. Binomial Theorem: Any Index, Examples XIV.c, No. 14

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