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Math Help - Easy simplification of a function

  1. #1
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    Easy simplification of a function



    I understand how they did everything except the last step, from 1/(-s/(s+1)^2) to -(s+1)^2/s

    Could someone clarify? Thanks.
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  2. #2
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    Quote Originally Posted by Evan.Kimia View Post


    I understand how they did everything except the last step, from 1/(-s/(s+1)^2) to -(s+1)^2/s

    Could someone clarify? Thanks.
    Well...

    Using the fact that \frac{1}{\frac{u}{v}} = 1 \cdot \frac{v}{u} \Rightarrow \frac{1}{\frac{s}{(s+1)^2}} = 1 \cdot \frac{(s+1)^2}{s}

    That is, dividing a term by x is like multiplying it by \frac{1}{x}. In this example, our x is -\frac{s}{(s+1)^2} and so our 1/x is -\frac{(s+1)^2}{s}
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  3. #3
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    Quote Originally Posted by Evan.Kimia View Post


    I understand how they did everything except the last step, from 1/(-s/(s+1)^2) to -(s+1)^2/s

    Could someone clarify? Thanks.
    remember how to divide by a fraction?

    \frac{1}{a/b} = 1 \cdot \frac{b}{a} = \frac{b}{a}
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  4. #4
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    Thats what i thought, i wanted to be certain. Thanks!
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