(08.05, 8.06 mc) part a: 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. show your work. (5 points) part b: the area of a rectangle is (81x2 − 4y2) square units. determine the dimensions of the rectangle by factoring the area expression completely. show your work. (5 points) (10 points)

Part a: 16x² - 8x + 1  ← is a perfect square trinomial                          16x² = (4x)²                          1      = (1)² or (-1)²                            -8x = 2  × 4x  × -1                formula for perfect square trinomial is a² - 2ab + b² = (a - b)²16x² - 8x + 1 =  (4x - 1)²answer: the length of each side of the square is 4x - 1part b: 81x² - 4y²  ← is the difference of two squares a² - b² = (a + b)(a - b)(9x + 2y)(9x - 2y)  answer: the dimensions of the rectangle are 9x + 2y by 9x - 2y

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