Difference between revisions of "1984 AHSME Problems/Problem 2"
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==Solution== | ==Solution== | ||
| − | Multiply the expression by <math> \frac{xy}{xy} </math> to get rid of the fractional numerator and denominator: <math> \frac{x^2y-x}{xy^2-y} </math>. This can be factored as <math> \frac{x(xy-1)}{y(xy-1)} </math>. The <math> xy-1 </math> terms cancel out, leaving <math> \frac{x}{y}, \boxed{\text{B}} </math>. | + | Multiply the expression by <math> \frac{xy}{xy} </math> to get rid of the fractional [[numerator]] and [[denominator]]: <math> \frac{x^2y-x}{xy^2-y} </math>. This can be [[Factoring|factored]] as <math> \frac{x(xy-1)}{y(xy-1)} </math>. The <math> xy-1 </math> terms cancel out, leaving <math> \frac{x}{y}, \boxed{\text{B}} </math>. |
==See Also== | ==See Also== | ||
{{AHSME box|year=1984|num-b=1|num-a=3}} | {{AHSME box|year=1984|num-b=1|num-a=3}} | ||
Revision as of 20:57, 16 June 2011
Problem
If 
, and 
are not 
, then
equals
Solution
Multiply the expression by 
to get rid of the fractional numerator and denominator: 
. This can be factored as 
. The 
terms cancel out, leaving 
.
See Also
| 1984 AHSME (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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
