Question 38993
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)