The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely.

4x - 1

Step-by-step explanation:

given area of square :

16x² − 8x + 1

(4x)² -8x + 1

factor the equation

and this is a perfect square trinomial

a² - 2ab + b² = (a-b) (a-b)

(4x)² - 8x + 1 = (4x-1) (4x-1)

we know that the area A = s²    (s stands for side)

substitute,  (4x-1)² = s²

4x - 1 = s

therefore, the side of a square s =  4x - 1

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!