madysonbauknight madysonbauknight

01-10-2020
Mathematics

contestada

find the area of the shaded region

find the area of the shaded region class=

Respuesta :

jimrgrant1 jimrgrant1

01-10-2020

Answer:

38x² - 17x - 3

Step-by-step 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

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