Question

find the product. simplify your answer.
(2w + 4)(4w − 4)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(2w \times 4w = 8w^2\)
Multiply the Outer terms: \(2w \times (-4) = -8w\)
Multiply the Inner terms: \(4 \times 4w = 16w\)
Multiply the Last terms: \(4 \times (-4) = -16\)

Step2: Combine like terms

Combine the \(w\)-terms: \(-8w + 16w = 8w\)
Combine the constant terms: \(-16\) remains as is.

So, the expression becomes \(8w^2 + 8w - 16\).

Answer:

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