1959 AHSME Problems/Problem 16
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Problem 16
The expression
when simplified is:
Solution
Factoring each of the binomials in the expression will yield the result of ![\[\frac{(x-2)(x-1)}{(x-3)(x-2)}\div \frac{(x-4)(x-1)}{(x-3)(x-4)},\]](http://latex.artofproblemsolving.com/5/2/7/52772812506482c454349bd969f88f359d6423c3.png)
We can eliminate like terms to get 
, which, according to identity property, is equivalent to the answer (D) 1.
See also
| 1959 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 15 |
Followed by Problem 17 | |
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| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
