Actually that is simplified as much as possible.
However, the following is perhaps what you want.
Our goal is to make the numerator as much like the
denominator as possible.
Factor 3 out of the denominator
We put the in the bottom to the side as a factor of
Still trying to make that numerator as much like the
denominator as possible
Write as
We put the in the top to the side along with the
factor making it an factor:
Still trying to make that numerator as much like the
denominator as possible, we add a and then
a so that the effect will be to add 0:
Now we will enclose in parentheses the first two terms
in the numerator which are identical to the denominator
Now we make two fractions:
The first fraction is 1, so
Distribute that out and get
That's what you would have gotten if you had done it
by long division. Did your teacher tell you to
use long division? If so, post again and specify
that we are to do it by long division.
Edwin
