on the first you're correct. and let me tell you why.

you have:

Pull out the x on top and bottom:

this is the same as:

is one. anything divided by itself is one (except zero).

So you're left with:

But there's another way to think about this, a more easier way.

you can just cancel the x's:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~~~~~~~~~~~~~~~~~~~~~~~~~~

On the second problem, you're wrong.

There's nothing you can factor out on the top and bottom.

but say you had:

now you can pull out factors: