Difference of Two Binomial Expansions

Rarely Tested

Difference of Two Binomial Expansions

## Formula

$$(a+b)^n-(a-b)^n=2\left[{}^nC_1a^{n-1}b+{}^nC_3a^{n-3}b^3+\cdots\right]$$

## Usage

- Used to eliminate all even-powered terms and retain only odd-powered terms.

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