Binomial Theorem

First invented by Newton, the Binomial Theorem states that for real or complex a,b,
$(a+b)^n = \sum_{k=0}^{n}{n \choose k}\cdot a^k\cdot b^{n-k}$ (The Binomial Theorem) We can understand why this is true, at least for integers, by following this simple observation: $\underbrace{ (a+b)\cdot(a+b)\cdot(a+b)\cdot\cdots\cdot(a+b) }_{n}$
Repeatedly using the distributive property, every way in which we can choose k as and n-k bs is representing, leading to the formula.

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Binomial Theorem