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Part A: The area of a square is (9x^2 + 24x + 16) 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 (16x^2 − 25y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Respuesta :

s1m1
part A
9x² +24x+16=
(3x)² +24x +4²=
(3x+4)² = (3x+4)(3x+4) so each side is 3x+4

Part B
16x² -25y²= (4x)² -(5y)²= (4x-5y)(4x+5y)
so one side is  (4x-5y), and the other side is (4x+5y)

Answer:

part A

9x² +24x+16=

(3x)² +24x +4²=

(3x+4)² = (3x+4)(3x+4) so each side is 3x+4

Part B

16x² -25y²= (4x)² -(5y)²= (4x-5y)(4x+5y)

so one side is  (4x-5y), and the other side is (4x+5y)

Step-by-step explanation:

part A

9x² +24x+16=

(3x)² +24x +4²=

(3x+4)² = (3x+4)(3x+4) so each side is 3x+4

Part B

16x² -25y²= (4x)² -(5y)²= (4x-5y)(4x+5y)

so one side is  (4x-5y), and the other side is (4x+5y)

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