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

Revision as of 00:12, 11 July 2006

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?

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

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