Problem:
Define x⊗y=x3−y. What is h⊗(h⊗h)?
Answer Choices:
A. −h
B. 0
C. h
D. 2h
E. h^
Solution:
By the definition we have
h⊗(h⊗h)=h⊗(h3−h)=h3−(h3−h)=(C)h​
The problems on this page are the property of the MAA's American Mathematics Competitions