How do I simplify this complex rational expression?

Simply: simplify each "section" of the weird expression separately.

FOR EXAMPLE
start by simplifying the top half.

5x/(x-1)(x+1) + 3/(4)(x-1)
= 1/(x-1) * (5x/(x+1) + 3/4)

You can also get
1/(x-1)
factored out of the bottom half and then cancel....Show more