Question

1. what is $(8b + 3)(b - 1)$?

a. $8b^2 - 6b - 4$
b. $8b^2 - 5b - 3$
c. $8b^2 - 5b - 2$
d. $8b^2 - 6b - 3$

Explanation:

Step1: Apply distributive property (FOIL)

$(8b)(b) + (8b)(-1) + (3)(b) + (3)(-1)$

Step2: Calculate each term

$8b^2 - 8b + 3b - 3$

Step3: Combine like terms

$8b^2 + (-8b+3b) - 3 = 8b^2 -5b -3$

Answer:

b. $8b^2 - 5b - 3$