Question

find the product. simplify your answer.
(3z + 2)(3z - 4)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \( (3z)(3z) = 9z^2 \)
Multiply the Outer terms: \( (3z)(-4) = -12z \)
Multiply the Inner terms: \( (2)(3z) = 6z \)
Multiply the Last terms: \( (2)(-4) = -8 \)

Step2: Combine like terms

Combine the middle terms: \( -12z + 6z = -6z \)
So the expression becomes \( 9z^2 - 6z - 8 \)

Answer:

\( 9z^2 - 6z - 8 \)