Factor completely.36u2–60u+25

The given expression is 36u^2 - 60u + 25.

Step 1: Identify if the expression is a perfect square trinomial. A perfect square trinomial is a trinomial that is the square of a binomial. In this case, the expression is a perfect square trinomial because it can be written as (6u)^2 - 26u5 + 5^2.

Step 2: Factor the perfect square trinomial. The factored form of a perfect square trinomial is (a - b)^2, where a is the square root of the first term and b is the square root of the last term.

So, the factored form of the given expression is (6u - 5)^2.