Factor the expression 25x^2-60xy+36y^2 into a product of binomials.

To factor the expression 25x^2 - 60xy + 36y^2 into a product of binomials, you can use the factoring methods suitable for trinomials. In this case, the expression is a perfect square trinomial, which means it can be factored as (a - b)^2.

First, note that the quadratic expression is all squared terms, so it appears similar to (a^2 - 2ab + b^2).

To identify the values of a and b, square root each term individually:

√(25x^2) = 5x
√(36y^2) = 6y

Therefore, the factors of the given expression are:

(5x - 6y)^2

sure looks like a perfect square situation.

Nice solution