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14 June, 05:38

Add the following rational expression k^3/k+5 + (7k^3) / k+5 =

A.) 8k^3+3/k+5

B.) 23k^3+7/3k+10

C.) 6 (3k+1) / 3k+4

D.) 20k^3+1/k+8

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Answers (1)
  1. 14 June, 05:44
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    [8k^3] / (k+5), perhaps the choice is A. with that + 3 being a typo.

    Step-by-step explanation:

    k^3 / (k+5) + (7k^3) / (k+5) = [k^3 + (7k^3) ] / (k+5)

    k^3 / (k+5) + (7k^3) / (k+5) = [8k^3] / (k+5) ? not in the choices.

    there is a typo ...

    could it be: (k^3/k) + 5 + (7k^3) / (k+5) =

    (k^3/k) + 5 + (7k^3) (k+5) = k^2 + 5 + (7k^3) / (k + 5)

    = [k^2 * (k + 5) ] / (k + 5) + 5 * (k + 5) / (k + 5) + (7k^3) / (k + 5)

    = [k^3 + 5k^2) ] / (k + 5) + 5k + 25) / (k + 5) + (7k^3) / (k + 5)

    = (8k^3 + 5k^2 + 5k + 25) / (k + 5) but still not an answer choice ...

    ...

    k^3 / (k + 5) + [ (7k^3) / k] + 5

    k^3 / (k + 5) + (7k^2) + 5

    k^3 / (k + 5) + (7k^2) * (k + 5) / (k+5) + 5 (k + 5) / (k + 5)

    = k^3 / (k + 5) + ((7k^3) + 35k^2) / (k+5) + 5 (k + 5) / (k + 5) nope ...
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