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Math Help - Simplifying Expressions... Not sure which kinds

  1. #1
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    Simplifying Expressions... Not sure which kinds

    Ok, I'm going to post 3 so I can be sure of how to do each kind.
     <br />
\frac {6}{x^2-9x+20} * (5x-25)<br />


    <br />
\frac {2x-6}{x^2+5x-24} * \frac {x^2+6x-16}{3x}<br />

    <br />
\frac {(\frac {3x^2}{8x^5} * 2x^3)}{\frac {9x}{8x^2}}<br />
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  2. #2
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    Quote Originally Posted by jscalalamoboy View Post
    Ok, I'm going to post 3 so I can be sure of how to do each kind.
     <br />
\frac {6}{x^2-9x+20} * (5x-25)<br />
    \frac{6\cdot 5(x-5)}{(x-4)(x-5)}=\frac{30(x-5)}{(x-4)(x-5)}=\frac{30}{(x-4)}<br />

    ---

    \frac{(3x^{2})(2x^{3})}{8x^{5}}\times \frac{8x^{2}}{9x}

    \frac{3x(2x^{4})}{9x(8x^{3})}=\frac{2x^{4}}{3(8x^{  3})}=\frac{2x^{4}}{24x^{3}}=\frac{x}{12}<br />
    Last edited by r_maths; May 21st 2008 at 04:40 PM.
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  3. #3
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    Quote Originally Posted by jscalalamoboy View Post
    Ok, I'm going to post 3 so I can be sure of how to do each kind.

    <br />
\frac {2x-6}{x^2+5x-24} * \frac {x^2+6x-16}{3x}<br />
    \frac{2x-6}{x^2+5x-24} = \frac{2(x-3)}{(x+8)(x-3)} = \frac{2}{x+8}

    \frac{x^2+6x-16}{3x} = \frac{(x+8)(x -2)}{3x}

    so the product is \frac{2}{x+8}\cdot \frac{(x+8)(x-2)}{3x}

    = \frac{2(x+8)(x-2)}{3x(x+8)} = \frac{2(x-2)}{3x}
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