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Math Help - Solution to Simplification of Algebraic Expression

  1. #1
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    Solution to Simplification of Algebraic Expression

    The following expression i am looking to confirm whether my answer is correct:

    \displaystyle \frac {6a+3}{2a^2+5a+2}

    For the above expression my answer is \displaystyle \frac {3}{a+2}

    The book however has the answer as \displaystyle \frac {3}{2a+1}

    Can anyone verify if i'm incorrect in my answer and why?

    Cheers

    BIOS
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  2. #2
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    Quote Originally Posted by BIOS View Post
    The following expression i am looking to confirm whether my answer is correct:

    \displaystyle \frac {6a+3}{2a^2+5a+2}

    For the above expression my answer is \displaystyle \frac {3}{a+2}

    The book however has the answer as \displaystyle \frac {3}{2a+1}

    Can anyone verify if i'm incorrect in my answer and why?

    Cheers

    BIOS
    \displaystyle \frac {6a+3}{2a^2+5a+2} = \frac{3(2a+1)}{(2a+1)(a+2)} =  \frac{3}{a+2} \, ; \, a \ne -\frac{1}{2}
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  3. #3
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    it's always good to have methods to check if your answers are right (because it in the real world you don't have a solution to check it against)

    for example, here you could have evaluated the 3 expressions with a simple a such as 2:
    \frac{12+3}{8+10+2}=\frac{15}{20}=\frac{3}{4}
    \frac{3}{2+2}=\frac{3}{4}
    \frac{3}{4+1}=\frac{3}{5}\ne\frac{3}{4}
    so you could have now comfortably rejected the book's answer without verification from an authority figure.
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