A logistics planner uses the polynomial expression ${}64y^2 - 80y + 25$ to calculate the required floor area for a new series of square storage units. To determine the formula for a single side length, they must write this area expression as a perfect square. Which of the following represents the correctly factored form of this expression?

A design engineer is verifying the dimensions of a square mounting bracket with an area given by the expression ${}64y^2 - 80y + 25$. Match each term from the area expression with its corresponding role in the perfect square trinomial pattern $a^2 - 2ab + b^2$.

A quality control technician is verifying the dimensions of a square solar panel with an area represented by the polynomial ${}64y^2 - 80y + 25$. To find the formula for the side length, the technician must factor the expression using the perfect square trinomial pattern. Arrange the following steps in the correct order to complete the factoring process.

An electronics engineer is designing a square microchip component where the surface area is represented by the trinomial ${}64y^2 - 80y + 25$. To simplify the design process, the engineer recognizes this as a perfect square trinomial that fits the pattern $(a - b)^2$. If the first term represents $a^2 = (8y)^2$, what is the numerical value of the constant $b$ that completes the factored form $(8y - b)^2$?

A quality control technician is reviewing the specifications for a square machine part with a surface area modeled by the expression ${}64y^2 - 80y + 25$. True or False: Based on the perfect square trinomial pattern, the technician can correctly conclude that the side length of this part is represented by the binomial $(8y - 5)$.

Verifying Photovoltaic Cell Dimensions Using Perfect Square Trinomials

Apprentice Training: Verifying a Perfect Square Layout