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Find the area of the shaded region

Find the area of the shaded region-example-1

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Answer:

38x² - 17x - 3

Explanation:

The area of the shaded region is calculated as

area of outer rectangle - area of white rectangle, that is

(8x + 1)(5x - 3) - 2x(x - 1) ← expand (8x - 1)(5x - 3) using FOIL

= 40x² - 24x + 5x - 3 - 2x² + 2x ← collect like terms

= 40x² - 17x - 3

User Alexandre Nucera
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