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(another) simple fraction watch

1. I'm having trouble simplifying
Code:
```x+1
------------
1 - 1/(x^2)```
And this one...
Code:
```y - (y/x)
----------
(1/x) - 1```
ta
2. (x + 1) / (1 - (1/x^2))
= x^2(x + 1) / (x^2 - 1)
= x^2(x + 1) / ((x + 1)(x - 1))
= x^2/(x - 1)
3. For the second one, use y - (y/x) = y(1 - (1/x)) = -y((1/x) - 1).
4. sorry, I don't understand that. Anyone care to elaborate? thanks
5. [y - (y/x) ] / [ (1/x) - 1 ]

Lets simplify the numerator.

So, from y - (y/x) we can take y out. So you have

y( 1 - (1/x)), however, becuase we want to simplfy, we want something to cancel out on both the top and bottom. Therefore, it would be best to take -y out which leaves us with

-y((1/x) - 1)

Now you can see that the (1/x) - 1) will cancel with the denominator and hence, your anwser is -y.
6. ah yes, thank you.

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Updated: April 10, 2006
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