Question 650688

I'm a little confused on a question.  It states to, "add and subtracted as indicated"

The problem goes;

{{{  (x+5)/(x^2+x^8+12) + (5x-1)/(x^2+9x+14)  }}}

I've tried a few but it's been a while since I've done this.

I know that the two denominators go as (x+2)(x+6) and (x+2)(x+7) but from that point on, I'm a little lost.  Help please?  (:


{{{(x + 5)/(x^2 + 8x + 12) + (5x - 1)/(x^2 + 9x +14)}}}


{{{(x + 5)/((x + 6)(x + 2)) + (5x - 1)/((x + 7)(x + 2))}}} ---- Factoring denominators


{{{(((x + 5)(x + 7)) + ((5x - 1)(x + 6)))/((x + 6)(x + 2)(x + 7))}}} --- Multiplying by LCD: (x + 6)(x + 2)(x + 7)


{{{((x^2 + 12x + 35 + 5x^2 + 29x - 6))/((x + 6)(x + 2)(x + 7))}}} 


{{{highlight_green((6x^2 + 41x + 29)/((x + 6)(x + 2)(x + 7)))}}} 


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