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1961 AMC 12 Question 5

AMC12 · 1961 AMC 12

Question 5

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