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Math Help - algebra problem

  1. #1
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    algebra problem

    Hey Math Helpers

    Having some trouble with simplifying this one.

    \frac{3+x}{x} - \frac{x^2+2}{x^2}

    Do I square both sides?

    Cheers
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  2. #2
    MHF Contributor
    skeeter's Avatar
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    Quote Originally Posted by stabza View Post
    Hey Math Helpers

    Having some trouble with simplifying this one.

    \frac{3+x}{x} - \frac{x^2+2}{x^2}

    Do I square both sides?

    Cheers
    get a common denominator and combine the fractions into a single fraction.
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  3. #3
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    solution?

     <br />
\frac {x^2(3+x)}{x^3} - \frac{x(x^2+2)}{x^3}<br />

    = \frac{3x^2+x^3-x^3+2x}{x^3}

    Is this next stop wrong?

    = \frac {3x - 2}{x^2}

    Thanks
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  4. #4
    Super Member Bacterius's Avatar
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    Wellington
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    Quote Originally Posted by stabza View Post
     <br />
\frac {x^2(3+x)}{x^3} - \frac{x(x^2+2)}{x^3}<br />

    = \frac{3x^2+x^3-x^3+2x}{x^3}

    Is this next stop wrong?

    = \frac {3x - 2}{x^2}

    Thanks
    Actually, your final answer is right but you failed on the signs in the middle step :

    \frac {x^2(3+x)}{x^3} - \frac{x(x^2+2)}{x^3}

    \frac{3x^2+x^3-x^3 {\color{red}{-}} 2x}{x^3}

    \frac {3x - 2}{x^2}
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