How to solve a problem, in algebra, related to factorization?

Question

Mathematics

The task is to factorize: x^2y^2 - 5x^2y + 4x^2 - y^2 + 5y - 4
Please, do not write the exact answer, if possible, explain how to solve it? what and how to do?
You can say all the steps of the solution, but no answer, please.

Answer 1

1. Take all the terms where x ² is present and put it out of brackets.
2. Solve the found quadratic equation for x and y.
PS Option 2, more complicated: Taking x and y in turn as constants, solve quadratic equations for y and x, respectively