Answer: The factored form of the quadratic expression (x^2 - 8x + 16) is ((x - 4)^2).
Step-by-step explanation:
The coefficient of the middle term ((-8x)) is twice the product of the square roots of the first and last terms. In this case, it is a perfect square trinomial because (8x = 2 \cdot x \cdot 4).
Rewrite the expression by completing the square:
(x^2 - 8x + 16 = (x - 4)^2)