SOLUTION: [(x/y)-(y/x]/[(1/y)+(1+x)] when i use the LCD method i get (x-y)/2 and i know the correct answer is x-y. can you simplify with the LCD method so that i can see what i am doing wron

Question 858295: [(x/y)-(y/x]/[(1/y)+(1+x)] when i use the LCD method i get (x-y)/2 and i know the correct answer is x-y. can you simplify with the LCD method so that i can see what i am doing wrong. thank you, todd.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the attached picture should be self explanatory.
it uses the LCD method as you requested.
it there's anything in there that confuses you, let me know and i'll explain as best I can.
the denominator that looks like yy is really xy.
just some sloppy handwriting on my part.
the LCD was xy for both the numerator and the denominator.
$$$

the other method is to find the LCD of the overall fraction.
In this problem, that turns out to be the same LCD.
the solution is shown below.
once again, it should be self explanatory.
The second method, in this case, is actually easier.
$$$

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