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For questions related to the binomial theorem, which describes the algebraic expansion of powers of binomials.

The binomial theorem states that where $n$ is an integer $$(x+y)^n=\sum_{k=0}^n\binom nkx^ky^{n-k}$$ where the binomial coefficient $\binom nk=\frac{n!}{k! (n - k)!}$

This can be extended as the binomial series, an infinite series representation for functions of the form $(1 + x)^{\alpha}$, where $\alpha$ is an arbitrary complex number.

Source: Binomial theorem.

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