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

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== Problem ==
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#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>h^3-h</math></center>
 
 
 
Plugging in the function once more, we have
 
 
 
<center><math>h^3-(h^3-h)=h, (C)</math></center>
 
== See Also ==
 
*[[2006 AMC 10A Problems]]
 

Latest revision as of 00:02, 28 April 2008

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