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binomial theorem

In mathematics, a theorem that specifies the complete expansion of a binomial raised to any positive integer power.

${(a + b)}^{n} = \sum_{k = 0}^{n} \frac{n!}{k! (n - k)!} a^{n - k} b^{k}$ , where $n$ is a positive integer.

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$