SOLUTION: I'm stuck again... 2x / x^2 + 10x + 24 plus 4 / x+4 Thanks for your help

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Question 38993This question is from textbook Beginning Algebra
: I'm stuck again...
2x / x^2 + 10x + 24 plus 4 / x+4
Thanks for your helpThis question is from textbook Beginning Algebra

Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
From
(2x / x^2 + 10x + 24) + (4 / x+4) =
(2x / (x+4)(x+6)) + (4 / x+4)
We will multiply the second term by (x+6)/(x+6)
(2x / (x+4)(x+6)) + (4(x+6) / (x+4)(x+6)) =
(2x + 4(x+6)) / (x+4)(x+6) =
(6x + 6) / (x+4)(x+6) =
6(x + 1) / (x + 4)(x + 6)