Art of Problem Solving

2006 AMC 12A Problems/Problem 2: Difference between revisions

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== Problem ==
== Problem ==
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</math>
<math>\mathrm{(E) \ }  h^3</math>


== Solution ==
== Solution ==

Revision as of 22:36, 10 July 2006

Problem

Define $x\otimes y=x^3-y$. What is $h\otimes (h\otimes h)$?

$\mathrm{(A) \ } -h\qquad \mathrm{(B) \ } 0\qquad \mathrm{(C) \ } h\qquad \mathrm{(D) \ } 2h$

$\mathrm{(E) \ }  h^3$

Solution

See also