Question

find the product. simplify your answer.
(4a - 4)(2a + 1)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(4a \times 2a = 8a^2\)
Multiply the Outer terms: \(4a \times 1 = 4a\)
Multiply the Inner terms: \(-4 \times 2a = -8a\)
Multiply the Last terms: \(-4 \times 1 = -4\)

Step2: Combine like terms

Combine the middle terms \(4a - 8a = -4a\)
So the expression becomes \(8a^2 - 4a - 4\)

Answer:

\(8a^2 - 4a - 4\)