Question

find the product. simplify your answer.
(4z - 2)(4z + 4)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (4z)(4z) + (4z)(4) + (-2)(4z) + (-2)(4) \)

Step2: Simplify each product

Calculate each term:
\( 16z^2 + 16z - 8z - 8 \)

Step3: Combine like terms

Combine the \( z \)-terms:
\( 16z^2 + (16z - 8z) - 8 = 16z^2 + 8z - 8 \)

Answer:

\( 16z^2 + 8z - 8 \)