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Math Help - simplifying each rational expression

  1. #1
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    simplifying each rational expression

    4t+12
    _____

    t^2-9
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  2. #2
    Senior Member topher0805's Avatar
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    1.) 4t+12

    Factor out the common terms. In this case, the only common term is 4:

    <br />
4(t+3)

    2.) t^2-9

    Recognize this as a difference of squares to get:

    (t+3)(t-3)
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  3. #3
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    Thank you so much, but i am just clarifying this is the final answer

    4(t+3)
    ________

    (t+3)(t-3)
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  4. #4
    Senior Member topher0805's Avatar
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    Yes those are the final answers. I am a bit confused. Was it two questions like I did or was it supposed to be like this:

    <br />
\frac {4(t+3)}{(t+3)(t-3)}

    If it was one question and it is a division statement, then you can also cancel out the (t+3) terms to get a final answer of:

    <br />
\frac {4}{t-3}
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  5. #5
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    it was all one question i am not sure how to write it liek u do

    4t+12
    _____
    t^2-9
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