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

(Solution)
Line 6: Line 6:
 
Plugging our values in the function, we have  
 
Plugging our values in the function, we have  
  
<center><math>h^3-h</math></center>
+
<center><math>\displaystyle h^3-h</math></center>
  
 
Plugging in the function once more, we have
 
Plugging in the function once more, we have
  
<center><math>h^3-(h^3-h)=h, (C)</math></center>
+
<center><math>\displaystyle h^3-(h^3-h)=h,  
 +
(C)</math></center>
 +
 
 
== See Also ==
 
== See Also ==
 
*[[2006 AMC 10A Problems]]
 
*[[2006 AMC 10A Problems]]

Revision as of 14:05, 6 July 2006

Problem

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

$\mathrm{(A) \ } -h\qquad \mathrm{(B) \ } 0\qquad \mathrm{(C) \ } h\qquad \mathrm{(D) \ } 2h\qquad \mathrm{(E) \ } h^3$

Solution

Plugging our values in the function, we have

$\displaystyle h^3-h$

Plugging in the function once more, we have

$\displaystyle h^3-(h^3-h)=h,  (C)$

See Also

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