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Math Help - Can anyone help me with these fractions with polynomials?

  1. #1
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    Can anyone help me with these fractions with polynomials?

    Can anyone help me solve these fractions? I just can't find a way to simplify it all..




    I've got the idea how to simplify the first and the last fractions' denominators but can't figure out the middle one..

    Sorry it's a little hard to explain but i hope you all will get it
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Can anyone help me with these fractions with polynomials?

    What I would do is the following:
    \frac{1}{x^2+2x-3}+\frac{18}{x^2+2x+2}=\frac{18}{x^2+2x+1}
    \Leftrightarrow \frac{(x^2+2x+2)+18(x^2+2x-3)}{(x^2+2x-3)(x^2+2x+2)}=\frac{18}{(x+1)^2}

    Expand the numerator of the LHS and use \frac{A}{B}=\frac{C}{D} \Leftrightarrow A\cdot D=B\cdot C

    And don't forget to exclude the values wherefore the denominators become zero ...
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