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Math Help - an expression problem

  1. #1
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    Exclamation an expression problem

    this is the problem at hand;

    a^2/a-5 + a-30/a-5

    Ok, knowing that the denominator (a-5) is the same on both sides it's only a matter of adding the numerators a^2 + a-30 right?!

    If so, then will the answe be a^3-30/a-5? or should I factor it out but if so then would it be a^2-6??


    Any help would be appretiated!!! thanks


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  2. #2
    GAMMA Mathematics
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    Quote Originally Posted by Morzilla View Post
    this is the problem at hand;

    a^2/a-5 + a-30/a-5

    Ok, knowing that the denominator (a-5) is the same on both sides it's only a matter of adding the numerators a^2 + a-30 right?!

    If so, then will the answe be a^3-30/a-5? or should I factor it out but if so then would it be a^2-6??


    Any help would be appretiated!!! thanks


    \frac{a^2}{(a-5)} + \frac{(a-30)}{(a-5)}
    \frac{a^2 + a - 30}{a-5}

    This is where you missed out on the factoring... You want two numbers that add up to 1 but the product of these two numbers is -30. The only solution to that is -5 and 6.

    \frac{(a-5)(a+6)}{a-5}
    a+6
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