50 POINTS please answer correctly and quickly. Fake answers will be reported

Part A: The area of a square is (16x2 − 8x + 1) square units. What special Trinomial is represented by this polynomial before factoring?


Part B: Determine the length of each side of the square in Part A by factoring the area expression completely. Show your work.


Part C: The area of a rectangle is (81x2 − 4y2) square units. What special Binomial is represented by this polynomial before factoring?


Part D: Determine the dimensions of the rectangle in Part C by factoring the area expression completely. Show your work.