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Math Help - Factorize the following expression.

  1. #1
    Super Member Showcase_22's Avatar
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    Factorize the following expression.

    At first glance this looked really easy to me. Boy was I proven wrong!

    Anyway, I have to factorize:

    ax+3x+2a+6

    There's a relationship between the x's and a's since the sum of the coefficients of the first 3 parts is 1+3+2=6. If this can be turned into a -6 then it would be easier to factorize.

    Any help will be greatly appreciated.
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  2. #2
    o_O
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    a{\color{red}x} + 3{\color{red}x} + 2a + 6 \ = \ {\color{red}x}{\color{blue}(a+3)} + 2{\color{blue}(a+3)}

    Factor the x out of the first 2 terms and factor out a 2 from the last 2. Now, notice that you can factor out the blue
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  3. #3
    Super Member Showcase_22's Avatar
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    ZOMG!

    Wow, that is so obvious! I've been doing this waaaaay too much.

    I have a test soon and i'm getting the jitters.

    I was overcomplicating it like I usually do. :s
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