Difference between revisions of "2006 AMC 10A Problems/Problem 2"

Latest revision as of 23:02, 27 April 2008

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-== Problem ==
+#redirect [[2006 AMC 12A Problems/Problem 2]]
-Define <math>x\otimes y=x^3-y</math>. What is <math>h\otimes (h\otimes h)</math>?
-<math> \mathrm{(A) \ } -h\qquad \mathrm{(B) \ } 0\qquad \mathrm{(C) \ } h\qquad \mathrm{(D) \ } 2h\qquad \mathrm{(E) \ } h^3 </math>
-== Solution ==
-Plugging our values in the function, we have
-<center><math>\displaystyle h^3-h</math></center>
-Plugging in the function once more, we have
-<center><math>\displaystyle h^3-(h^3-h)=h,
-(C)</math></center>
-== See Also ==
-*[[2006 AMC 10A Problems]]