Binomial Expansion for Large Powers
## Formula
For:
$$N=a+b$$
where $$b$$ is small relative to $$a$$:
$$N^n=a^n+{}^nC_1a^{n-1}b+{}^nC_2a^{n-2}b^2+\cdots+b^n$$
## Usage
- Used to simplify calculations of large powers by choosing a convenient nearby value of $$a$$.