Question 580207
(r^2 - 5r + 6)/(r^2 - 4)


((r-3)(r-2))/(r^2 - 4)


((r-3)(r-2))/((r-2)(r+2))


(r-3)/(r+2)



So (r^2 - 5r + 6)/(r^2 - 4) completely simplifies to (r-3)/(r+2)



In other words, (r^2 - 5r + 6)/(r^2 - 4) = (r-3)/(r+2) for all values of r where r doesn't equal 2 or -2.