Binomial Expansion of $$(a+b)^n-(a-b)^n$$

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Binomial Expansion of $$(a+b)^n-(a-b)^n$$

## Formula

$$

(a+b)^n-(a-b)^n=2\sum_{\substack{r=0\\r\text{ odd}}}^{n}{}^nC_ra^{n-r}b^r

$$

## Usage

- Used to isolate odd powers in binomial expansions.

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