Art A: The area of a square is (9x2 - 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. Part B: The area of a rectangle is (25x2 - 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work

Part A:

For this case we have the following expression:

(9x2 - 12x + 4)

Factoring we have:

(9x2 - 12x + 4) = (3x-2) * (3x-2)

Answer:

The length of each side of the square is:

(3x-2)

Part B:

For this case we have the following expression:

(25x2 - 16y2)

Factoring we have:

(5x-4y) * (5x + 4y)

Answer:

The dimensions of the rectangle by factoring the area expression are:

(5x-4y)

(5x + 4y)