Difference between revisions of "2006 AMC 12A Problems/Problem 2"

Revision as of 18:28, 2 February 2007

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

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

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

By the definition of $\otimes$ , we have $h\otimes h=h^{3}-h$ . Then $h\otimes (h\otimes h)=h\otimes (h^{3}-h)=h^{3}-(h^{3}-h)=h$ . The answer is C.

2006 AMC 12A (Problems • Answer Key • Resources)
Preceded by Problem 1	Followed by Problem 3
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AMC 12 Problems and Solutions

@@ Line 13: / Line 13: @@
 == See also ==
 * [[2006 AMC 12A Problems]]
-*[[2006 AMC 12A Problems/Problem 1|Previous Problem]]
-*[[2006 AMC 12A Problems/Problem 3|Next Problem]]
+{{AMC12 box|year=2006|ab=A|num-b=1|num-a=3}}
 [[Category:Introductory Algebra Problems]]