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Math Help - Adding Rational Expressions with Unlike Denominators

  1. #1
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    Adding Rational Expressions with Unlike Denominators

    Add. Simplify, if possible.  \frac {1} {5x} + \frac {7x} {x+5}
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  2. #2
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    Quote Originally Posted by HSS8 View Post
    Add. Simplify, if possible.  \frac {1} {5x} + \frac {7x} {x+5}
    \frac {1} {5x} + \frac {7x} {x+5}

    \frac {1*(x+5)} {5x*(x+5)} + \frac {7x*5x} {(x+5)*5x}

    \frac {(x+5)+7x*5x} {5x*(x+5)}

     \frac {x+5+35x^2} {5x*(x+5)}

     \frac {x+5+35x^2} {5x^2+25x}

    I guess there is no way to simplify
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  3. #3
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    the bottom

    The denominator in the answer above could be simplified further into 5(x^2+5). Sorry I just joined and I do not know how to insert exponents on using my keyboard. It should say x squared. Factor out the 5 and you have x squared and 5.
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  4. #4
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    Actually now that I think about it, you should have 5x(x+5). Because you could factor out the X as well. Sorry about that.
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