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Alex17521 [72]
2 years ago
15

Write a polynomial that represents the area of the shaded region

Mathematics
2 answers:
AveGali [126]2 years ago
5 0

Answer:

<em>3x² - 2x - 16 </em>

Step-by-step explanation:

3x² - 2x - 16

vladimir2022 [97]2 years ago
4 0

Answer:

  • 3x² - 2x - 16

Step-by-step explanation:

Shaded region is the difference of the areas of the rectangles

<u>Area of the bigger rectangle:</u>

  • A = 2x(2x + 4) = 4x + 8x

<u>Area of the smaller rectangle:</u>

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

<u>Area of shaded region:</u>

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