Question

multiply.
(3b - 4)(3b + 8)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \( (3b)(3b) = 9b^2 \)
Multiply the Outer terms: \( (3b)(8) = 24b \)
Multiply the Inner terms: \( (-4)(3b) = -12b \)
Multiply the Last terms: \( (-4)(8) = -32 \)

Step2: Combine like terms

Combine the \( b \) terms: \( 24b - 12b = 12b \)
Now, combine all terms: \( 9b^2 + 12b - 32 \)

Answer:

\( 9b^2 + 12b - 32 \)