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Expand the binomial \((x+y)^n\text{:}\)

\begin{equation*} (x + y)^n = {n \choose 0}x^n + {n \choose 1}x^{n-1}y + {n \choose 2}x^{n-2}y^2 + \cdots + {n \choose n-1}x\cdot y^{n-1} + {n \choose n}y^n\text{.} \end{equation*}
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