A carpenter is putting a skylight in a roof. If the roof measures 10𝑥 + 8 by 8𝑥 + 6 and the skylight measures 𝑥 + 5 by 3𝑥 + 4, what is the area of the remaining roof after the skylight is built?

Question

a. 77𝑥^2 + 115𝑥 + 68
b. 77𝑥^2 + 105𝑥 + 28
c. 83𝑥^2 + 115𝑥 + 68
d. 77𝑥^2 − 105𝑥 + 28

Answer 1

[(10𝑥 + 8) (8𝑥 + 6)] - [(𝑥 + 5) (3𝑥 + 4)] = ?

(80𝑥^2 + 124𝑥 + 48) - (3𝑥^2 + 19𝑥 + 20)