SOLUTION: <pre> 2x + a d -------- + --- a + b x Thank you very much, Barbara</pre>

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Question 80060: 
 2x + a     d
-------- + ---
  a + b     x

Thank you very much,
Barbara
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

 2x + a     d
-------- + ---
  a + b     x

Get the LCD = x(a + b)

The first fraction needs an x on the bottom
for it to have the LCD on the bottom. So multiply
by x on the bottom and the top:

 x(2x + a)     d
----------- + ---
  x(a + b)     x

The second fraction needs an (a + b) on the bottom
for it to have the LCD on the bottom. So multiply
by (a + b) on the bottom and the top:

 x(2x + a)     d(a + b)
----------- + ----------
  x(a + b)     x(a + b)

Distribute the tops out, but not the bottoms:

 2x² + ax      ad + bd
----------- + ----------
  x(a + b)     x(a + b)

Combine the numerators over the LCD

 2x² + ax + ad + bd
---------------------
      x(a + b)

Leave it like that since the top
won't factor.

Edwin