Question

1. what is ((4n - 2)(6n + 6))?

a. (23n^2 + 12n + 12)
b. (24n^2 + 11n - 12)
c. (24n^2 + 12n - 12)
d. (24n^2 - 12n + 13)

Explanation:

Step1: Apply FOIL method

$(4n-2)(6n+6) = 4n\cdot6n + 4n\cdot6 + (-2)\cdot6n + (-2)\cdot6$

Step2: Calculate each term

$=24n^2 + 24n - 12n - 12$

Step3: Combine like terms

$=24n^2 + (24n-12n) - 12 = 24n^2+12n-12$

Answer:

c. $24n^{2}+12n-12$