Question

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

Explanation:

Step1: Apply FOIL method

First terms: $2a \times 4a = 8a^2$
Outer terms: $2a \times 4 = 8a$
Inner terms: $-2 \times 4a = -8a$
Last terms: $-2 \times 4 = -8$
Combine all: $8a^2 + 8a - 8a - 8$

Step2: Combine like terms

$8a^2 + (8a - 8a) - 8 = 8a^2 - 8$

Answer:

$8a^2 - 8$