Let us attempt to solve it step by step:

We are given

x²y² = 25

xy = 12

Step 1: Square the second equation:

(xy)² = 12²

x²y² = 144

Step 2: Equate the two equations:

Since both x²y² equal 25 and 144, we can equate them:

25 = 144

This is not possible.

Thus, there might be a contradiction in the given equations. Please check the problem again or provide more information.