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Math Help - Simplify

  1. #1
    Member alexgeek's Avatar
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    Wales, UK
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    Simplify

    How would do I get:
     u^2+v^2 = \frac{1}{4}

    From:
    <br />
(\frac{u}{u^2+v^2})^2 + (\frac{-v}{u^2+v^2})^2 = 4<br />

    Can't seem to get there.

    Thanks
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  2. #2
    Senior Member
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    (\frac{u}{u^2+v^2})^2 + (\frac{-v}{u^2+v^2})^2 = \frac{u^2}{(u^2+v^2)^2} + \frac{v^2}{(u^2+v^2)^2}<br />
= \frac{u^2 + v^2}{(u^2+v^2)^2} = \frac{1}{u^2+v^2}<br />
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  3. #3
    Member alexgeek's Avatar
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    ahh, good one.
    Thanks
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