Question

1. the expression is equivalent to (r - 5)(4r + 3)?

a. 3r - 2
b. 5r - 15
c. 4r² - 17r - 15
d. 4r² - 23r - 15

Explanation:

Step1: Apply distributive property (FOIL)

$(r-5)(4r+3) = r(4r) + r(3) -5(4r) -5(3)$

Step2: Calculate each term

$= 4r^2 + 3r -20r -15$

Step3: Combine like terms

$= 4r^2 + (3r-20r) -15 = 4r^2 -17r -15$

Answer:

c. $4r^2 - 17r - 15$