PreCal
posted by Hannah .
Perform the multiplication and use the fundamental identities to simplify.
(cotx + cscx)(cotxcscx)
I know that you have to foil first so
cot^2x  csc^2x and then use the pythagorean identity 1+cot^2u = csc^2u but I do not know how to simplify.

You have the solution right there in front of you ...
cot^2x  csc^2x
= cot^2x  (1 + cot^2x)
= cot^2x  1  cot^2x
=  1