2016 AMC 8 Problems/Problem 15: Difference between revisions
Pi is 3.14 (talk | contribs) |
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Revision as of 22:27, 27 January 2021
Problem
What is the largest power of 
that is a divisor of 
?
Solution
First, we use difference of squares on 
to get 
. Using difference of squares again and simplifying, we get 
. Realizing that we don't need the right-hand side because it doesn't contain any factor of 2, we see that the greatest power of that is a divisor is 
.
| 2016 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Problem 16 | |
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| All AJHSME/AMC 8 Problems and Solutions | ||
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