There is a lot here, and it would be a mistake for us to do them all for you.Originally Posted byasdfghjkl

But I see no reason for not showing you how to do a selection of these.

1a. Simplify: .

First if is a common factor of the top or bottom of a

rational expression like this, factor it out:

.

Now look for terms which are the difference of two squares as we know

that , here we have such a term, so:

Now we check if we can cancel any terms, in this case we check if:

,

has one or more of , or

as factors. The first obviously is not a factor, if the second was a factor

then substituting into the expression would simplify to 0,

it does not so id not a factor of .

Now if the last candidate is a factor substituting into the

expressions would simplify to zero, which in this case it does, and by trial

and error we find:

, so now we have:

.

Finally cancel common terms to get:

.

RonL