Question 13295
You'll have to factor the numerator and denominator in order to reduce the fraction.  It just so happens (by chance???) that they both factor as trinomials.  It may be some tough factoring, but they do factor.


{{{ (6x^2y^2+11xy+4)/(9x^2y^2+9xy-4) }}}


{{{((2xy +4)*(2xy+1) )/((3xy+4)*(3xy-1)) }}}


You can divide out the factor of (3xy+4).


Final answer:  {{{ (2xy+1)/(3xy-1) }}}


R^2 at SCC