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Sum of Two Binomial Expansions
## Formula
$$(a+b)^n+(a-b)^n=2\left[a^n+{}^nC_2a^{n-2}b^2+{}^nC_4a^{n-4}b^4+\cdots\right]$$
## Usage
- Used to eliminate all odd-powered terms and retain only even-powered terms.
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Sum of Two Binomial Expansions
## Formula
$$(a+b)^n+(a-b)^n=2\left[a^n+{}^nC_2a^{n-2}b^2+{}^nC_4a^{n-4}b^4+\cdots\right]$$
## Usage
- Used to eliminate all odd-powered terms and retain only even-powered terms.
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