Difference between revisions of "1961 AHSME Problems/Problem 5"

(Created page with 'Let <math>S=(x-1)^4+4(x-1)^3+6(x-1)^2+4(x-1)+1</math>. Then S equals: (A) <math>(x-2)^4</math> (B) <math>(x-1)^4</math> (C) <math>x^4</math> (D) <math>(x+1)^4</math> (E) <math>x…')
 
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(A) <math>(x-2)^4</math>
 
(A) <math>(x-2)^4</math>
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(B) <math>(x-1)^4</math>
 
(B) <math>(x-1)^4</math>
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(C) <math>x^4</math>
 
(C) <math>x^4</math>
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(D) <math>(x+1)^4</math>
 
(D) <math>(x+1)^4</math>
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(E) <math>x^4+1</math>
 
(E) <math>x^4+1</math>

Revision as of 16:02, 1 October 2009

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) $x^4+1$