(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]\frac{1 + \sqrt{\frac{1}{1 + \left(\frac{s}{u}\right)^{2}}}}{1 - \sqrt{\frac{1}{1 + \left(\frac{s}{u}\right)^{2}}}}[/tex]

Should equal [tex]\left(\sqrt{1 + \left(\frac{u}{s}\right)^2} + \left(\frac{u}{s}\right)\right)^{2}[/tex]

2. Relevant equations

above

3. The attempt at a solution

I have tried numerous ways of trying to simplify the initial equation to equal the second, but cannot seem to get rid of the multi-term denominator.

What is a good formula/method for reducing a fraction such as this?

Thanks

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# Homework Help: Simplifying complex fractions

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