Difference between revisions of "2006 AMC 12A Problems/Problem 24"

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== Problem ==
 
== Problem ==
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The expression
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<math>(x+y+z)^{2006}+(x-y-z)^{2006}</math>
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is simplified by expanding it and combining like terms. How many terms are in the simplified expression?
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<math> \mathrm{(A) \ } 6018\qquad \mathrm{(B) \ } 671,676\qquad \mathrm{(C) \ } 1,007,514\qquad \mathrm{(D) \ } 1,008,016</math><math>\mathrm{(E) \ }  2,015,028</math>
  
 
== Solution ==
 
== Solution ==

Revision as of 23:11, 10 July 2006

Problem

The expression

$(x+y+z)^{2006}+(x-y-z)^{2006}$

is simplified by expanding it and combining like terms. How many terms are in the simplified expression?

$\mathrm{(A) \ } 6018\qquad \mathrm{(B) \ } 671,676\qquad \mathrm{(C) \ } 1,007,514\qquad \mathrm{(D) \ } 1,008,016$$\mathrm{(E) \ }  2,015,028$

Solution

See also