Question 98652



     r^2-5r+6/r^2-4 

    Factorise r^2-5r+6 = r^2-3r-2r+6 = r(r-3)-2(r-3)= (r-3)(r-2)

    Factorise r^2-4 = (r+2)(r-2)

           r^2-5r+6/r^2-4 = (r-3)(r-2)/(r+2)(r-2)

                          = (r-3)/(r+2)  is the required answer