1. If the denominator can be factored some of the terms may cancel out

2. Say you have the expressions

a)

b)

B divides out to

Couldn't A be expressed as the reciprocal of this? If so, which is the simplest form? A or this reciprocal? Why?

I don't think I understand what "simplest form" means in terms of polynomial fractions. Hopefully this question makes sense.