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26 January, 02:33

Which rational expression is equivalent to 1 / (x+4) + 3 / (x-5)

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  1. 26 January, 04:56
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    (4x+7) / (x^2-x-20)

    Step-by-step explanation:

    To simplify them into one, you need to make the common denominator (x+4) (x-5).

    [1 (x-5) + 3 (x+4) ] / (x-5) (x+4)

    (x-5+3x+12) / (x-5) (x+4)

    (4x+7) / (x-5) (x+4)

    I'm not sure how simplified you want it, but as I put at the top, the (x-5) (x+4) can be simplified to x^2-x-20
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