Problem:
What is the value of
22014−2201222014+22012?
Answer Choices:
A. −1
B. 1
C. 35
D. 2013
E. 24024
Solution:
Factoring 22012 from each of the terms and simplifying gives
22012(22−1)22012(22+1)=4−14+1=(C)35
The problems on this page are the property of the MAA's American Mathematics Competitions