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Math Help - Operations on Algebraic Fractions

  1. #1
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    Operations on Algebraic Fractions

    Reduce each algebraic fraction.


    \frac{4-2u}<br />
{u^3-8}
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  2. #2
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    Quote Originally Posted by comet2000 View Post
    Reduce each algebraic fraction.


    \frac{(4-2u)}<br />
\frac{(u^3-8)}
    so is it \frac{4-2u}{u^3-8}?

    I'll assume it is.

    So let's rewrite things: \frac{2(2-u)}{(u-2)(u^2+2u+2)}

    Let's move that negative: \frac{2(2-u)}{-1(2-u)(u^2+2u+2)}

    Now we can cancel out the 2-u to get: \frac{2}{-1(u^2+2u+2)}

    So therefore: \frac{4-2u}{u^3-8}=\frac{-2}{u^2+2u+2}
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