Question

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

a. $4n^{2}-14n + 7$
b. $4n^{2}-18$
c. $4n^{2}-16$
d. $4n^{2}-10$

Explanation:

Step1: Apply distributive property (FOIL)

$(4n+8)(n-2) = 4n\cdot n + 4n\cdot(-2) + 8\cdot n + 8\cdot(-2)$

Step2: Calculate each term

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

Step3: Combine like terms

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

Answer:

c. $4n^2 - 16$