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Math Help - [Help] Multiplying and Dividing Rational Expressions

  1. #1
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    Post [Help] Multiplying and Dividing Rational Expressions

    Alright, I wanted to check and see if I got my answer right to this following question..



    I came up with x over 3x+4

    Thanks
    Last edited by JosephLive93; May 21st 2009 at 03:49 PM. Reason: insert image did not work.
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  2. #2
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    Factorise both fractions to get

    (x+4)(x-4)/(x-4) X x/3(x+4)

    I then simplified to get x/3
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  3. #3
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    \frac{x^2-16}{x-4} \div \frac{3x+12}{x}

    change divide into times by flipping the second term

    \frac{x^2-16}{x-4} \times \frac{x}{3x+12}

    now factor the top of the first term using difference of 2 squares and the bottom of the second term by taking out a common factor

    \frac{(x-4)(x+4)}{x-4} \times \frac{x}{3(x+4)}

    now times the 2 terms together you get

    \frac{(x-4)(x+4)x}{3(x+4)(x-4)}

    and cancelling out terms

    \frac{x}{3}
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