I have been working through Dr. Rapalje's Algebra texts regarding multiplying and dividing fractions:

http://www2.seminolestate.edu/rrapalje/IntermediateAlgebra/Int%20One%20Step%20Ch%202/2204_Mult_Div_Frac.htm

I'm having difficulty reducing problem 38 to the solution. The expression starts as:

and I factor the components:

(unable to reduce)

(unable to reduce)

and then reassemble the expression and simplify:

...cancel out one of the (x + 3) from the denominator of the first fraction and

one from the numerator of the second fraction...

...then cancel out the x^3 and the x^2 leaving just x in the numerator of the

first fraction and then divide the 27 by the 9 leaving an expression:

The first fraction (x + 3) cancels altogether leaving:

but this isn't correct, as it should simply be

Somewhere I'm missing a step necessary to eliminate the denominator value entirely.