Factor.x, squared, minus, 16, x, plus, 64x 2 −16x+64

The given expression is x^2 - 16x + 64.

Step 1: Identify the expression as a perfect square trinomial. A perfect square trinomial is a trinomial that can be written as (a+b)^2 or (a-b)^2.

Step 2: The general form of a perfect square trinomial is a^2 + 2ab + b^2 or a^2 - 2ab + b^2.

Step 3: Compare the given expression with the general form. Here, a = x, b = 8, and the expression is a perfect square trinomial of the form a^2 - 2ab + b^2.

Step 4: Write the expression in factored form. The factored form of the expression is (a - b)^2.

So, x^2 - 16x + 64 = (x - 8)^2.