Question 156570
my solution looks a little different - here's why.................

                        4x^2 - 9 / 4x^2+12x+9 / 6x-9

=

                             4x^2-9 / (4x^2+12x+9 * 6x-9)

because a/b/c = (a/b) * (1/c) = a/(b*c)

factoring we get...............

                           (2x-3) * (2x+3) / ( (2x+3) * (2x+3) * 3 * (2x-3) )

dividing out like terms we get ................

                          1 / ( (2x+3) * 3 )

because one (2x-3) on top cancels out one (2x-3) on bottom and one (2x+3) on top cancels out one (2x+3) on bottom.

so the answer appears to be 1 divided by (2x+3)*3.