The expression you provided is a quadratic equation in the form of (a^2)y^2 - 2aby + b^2.
This equation can be factored into the form of (ay - b)^2, which is a perfect square trinomial. This means that it can be written as the square of a binomial, (ay - b).
So, the factored form of the equation is:
(ay - b)^2 = (a^2)y^2 - 2aby + b^2
This form shows that the expression is the square of a binomial and can be used to solve for y.