Binomial Theorem

Binomial theorem

Binomial coefficient

(\binom{n}{k}) = \frac{n!}{k! (n - k)!}

Expansion

(a + b)^{n} = \sum_{k = 0}^{n} (\binom{n}{k}) a^{n - k} b^{k}

Term k + 1

T_{k + 1} = (\binom{n}{k}) a^{n - k} b^{k}

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