Binomial Expansion for Large Powers

Rarely Tested

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 $$a$$.

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