Question

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

Explanation:

Step 1: Apply the distributive property (FOIL method)

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

Step 2: Combine like terms

Combine the middle terms \(-4a\) and \(-2a\):
\(4a^2 - 4a - 2a + 2 = 4a^2 - 6a + 2\)

Answer:

\(4a^2 - 6a + 2\)