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Write a polynomial that represents the area of the shaded region

Write A Polynomial That Represents The Area Of The Shaded Region class=

Sagot :

Answer:

  • 3x² - 2x - 16

Step-by-step explanation:

Shaded region is the difference of the areas of the rectangles

Area of the bigger rectangle:

  • A = 2x(2x + 4) = 4x + 8x

Area of the smaller rectangle:

  • A = (x + 2)(x + 8) = x² + 10x + 16

Area of shaded region:

  • A = 4x² + 8x - x² - 10x - 16 = 3x² - 2x - 16

Answer:

3x² - 2x - 16

Step-by-step explanation:

3x² - 2x - 16

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