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1961 AHSME Problems/Problem 5

Let $S=(x-1)^4+4(x-1)^3+6(x-1)^2+4(x-1)+1$. Then S equals:

(A) $(x-2)^4$

(B) $(x-1)^4$

(C) $x^4$

(D) $(x+1)^4$

(E) $x^4+1$ These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. AMC Logo.png

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