Question 415512
denominators. It is a pun puzzle worksheet. I get the idea and can do most of the problems, but there are some like the one I am going to ask about that are stumping me.

So the expression is:

  u         2u
----- + -------------
u + 5   u^2 + 8u + 15

So, the first step is to find the LCM by factoring the denominators.

u + 5 = (u + 5)
u^2 + 8u + 15 = (u + 5)(u + 3)
LCM: (u + 5)(u + 3)

So now I have gotten the LCM, I must make the denominators like, like so:

  u      (u + 3)           2u            u^2 + 3u            2u
----- x ---------- + -------------- = -------------- + --------------
u + 5    (u + 3)     (u + 5)(u + 3)   (u + 5)(u + 3)   (u + 5)(u + 3)

Now, I combine my like terms which gives me:

   u^2 + 5u
--------------
(u + 5)(u + 3)



{{{(u(cross(u+5)))/((cross(u+5))(u+3))}}}


{{{u/(u+3)}}}