Part a: the area of a square is (9x2 + 24x + 16) 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 (16x2 − 25y2) square units. determine the dimensions of the rectangle by factoring the area expression completely. show your work.

part a:

9x2 + 24x + 16 =

(3x + 4)^2

each side measures (3x + 4) units.

part b:

16x^2 - 25y^2 =

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

the dimensions of the rectangle are (4x + 5y) units and (4x - 5y) units.

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step-by-step explanation: