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Math Help - Simplify Equation

  1. #1
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    Simplify Equation

    I am unable to come up with the answer to the key for this problem. Can someone give it a try?

    (4x^2+x-6)/(x^2+3x+2)-3x/(x+1)+5/(x+2)

    Thanks in advance!
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  2. #2
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    Dear sprivitor,

    \frac{4x^2+x-6}{(x+1)(x+2)}-\frac{3x}{x+1}+\frac{5}{x+2}

    \frac{4x^2+x-6-3x(x+2)+5(x+1)}{(x+1)(x+2)}

    By simplification we would get,

    \frac{x^2-1}{(x+1)(x+2)}

    \frac{(x+1)(x-1)}{(x+1)(x+2)}

    \frac{x+1}{x+2}

    Hope this helps.
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  3. #3
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    [quote=sprivitor;448278]I am unable to come up with the answer to the key for this problem. Can someone give it a try?
    (4x^2+x-6)/(x^2+3x+2)-3x/(x+1)+5/(x+2)
    [quote]
    Did you realise that x^2+3x+2 = (x+1)(x+2) ?
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  4. #4
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    Thank you. I now see my problem was with a simple negative sign.

    -3X/(X+1) + 5 / (X+2)

    I made the WRONG assumption that this equals

    -[3X/(X+1) + 5 / (X+2)]

    it is equal to

    -[3X/(X+1) - 5 / (X+2)]
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