So first let's put this in a more realistic look:
8x
-----------
16x(x+y)
You'd get after you multiplied the bottom:
8x
-----------
16x² +16xy
Cancel out the Xs
8
------------
16x + 16y
Divide both 16s by 8
Your answer:
[tex] \frac{1}{2x + 2y} [/tex]
^ First time I've used that.
