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AHSME 1961 Problem 5

    Let S=(x−1)4+4(x−1)3+6(x−1)2+4(x−1)+1S=(x-1)^4+4(x-1)^3+6(x-1)^2+4(x-1)+1. Then SS equals: (A) (x−2)4(B) (x−1)4(C) x4(D) (x+1)4(E) x4+1\textbf{(A)}\ (x-2)^4 \textbf{(B)}\ (x-1)^4 \textbf{(C)}\ x^4 \textbf{(D)}\ (x+1)^4 \textbf{(E)}\ x^4+1

    Dataset text NuminaMath-1.5. Quoted with source.

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    C

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