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Apr 17, 2014
9:41:01pm
In order to subtract the two fractions, they have to have the same denominator
The way to get the same denominator is to multiply each fraction (top and bottom) by the denominator of the other fraction, like this:

2x/(x^2+1) * x^2/x^2 for the first term (x^2/x^2 = 1, so you can multiply by that without changing the value of that term)

and

1/x^2 * (x^2+1)/(x^2+1) for the second term

I'll go ahead and work it a little further so you can be sure you are on the right track:

After doing the steps above, you have

2x*x^2/(x^2*(x^2+1)) - (x^2+1)/(x^2*(x^2+1))

Now, since they both have the same denominator, you can just subtract the numerators and simplify.

Hope that helps.
dilbert
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dilbert
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