Question 1031478
 (2x-3y)^2 / (3y-2x)^2 
Foil them out
4x^2-12xy+9y^2/9y^2-12xy+4x^2
Those are the same. Answer is 1.
The issue is the minus sign you have in the brackets is also squared, and that equals 1.
I'm always cautious when I cancel squares, take square roots, or modify something that is being squared.  Here, the safest way is to foil the two out and notice that they are the same, just written in different order.