Answer:
(A) 4x2 - 4x + 1
Explanation:
We can factor 4 out of each of these choices and see which ones can be factored as a perfect square
(A) 4x² - 4x + 1
= 4(x² - 1x + 1/4)
If x² - x + 1/4 is to be a perfect square, since the coefficient of x is negative it must be of the form (x - a)²
(x - a)² = x² - 2ax + a²
With a = 1/2, a² = 1/4
-2ax = -2 x 1/2 x = -1x = -x
So 4x2 - 4x + 1 is a perfect square and can be factored as
4(x - 1/2)²