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Simplify the complex rational expression

3/(x+5)+ 6/(x+3) ÷ (3x+13)/(x^2+8x+15)

(please show steps i already know the answer i need to know the steps)

  • Algebra -

    Use the fact that
    (x^2+8x+15) = (x+5)(x+3)

    Muliply numerator and denominator by that and you will get some big simplifications.

    [3(x+3) + 6(x+5)] /(3x +13)
    = (9x + 39)/(3x +13)

    Do you see another simplication? Factor out "3" in the numerator.

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