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1961 AHSME Problems/Problem 5

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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

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Looking for a challenging algebra text? Preparing for MATHCOUNTS or the AMC exams?
Check out Art of Problem Solving's Introduction to Algebra by Richard Rusczyk.
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