Question

1. what is $(4n + 8)(n - 2)$?

a. $4n^2 - 14n + 7$

b. $4n^2 - 18$

c. $4n^2 - 10$

d. $4n^2 - 16$

Explanation:

Step1: Apply FOIL method

Multiply first terms: $4n \times n = 4n^2$
Multiply outer terms: $4n \times (-2) = -8n$
Multiply inner terms: $8 \times n = 8n$
Multiply last terms: $8 \times (-2) = -16$

Step2: Combine all terms

$4n^2 - 8n + 8n - 16$

Step3: Simplify like terms

$4n^2 + (-8n + 8n) - 16 = 4n^2 - 16$

Answer:

d. $4n^2 - 16$