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Math Help - Simplifying rational expressions 1

  1. #1
    Lil
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    Post Simplifying rational expressions 1

    \frac{x-1}{x^{\frac{3}{4}}+x^{\frac{1}{2}}}\cdot\frac{x^{\  frac{1}{2}}+x^{\frac{1}{4}}}{x^{\frac{1}{2}}+1}\cd  ot x^{\frac{1}{4}}+1

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  2. #2
    MHF Contributor Unknown008's Avatar
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    \dfrac{x-1}{x^{\frac{3}{4}}+x^{\frac{1}{2}}}\cdot\dfrac{x^{  \frac{1}{2}}+x^{\frac{1}{4}}}{x^{\frac{1}{2}}+1}\c  dot x^{\frac{1}{4}}+1

    Factorise where you can, and you'll see some terms crossing out.

    For example:

    x^\frac34 + x^\frac12 = x^\frac34 + x^\frac24 = x^\frac24(x^\frac14 + 1)
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