Question

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

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(3\times3 = 9\)
Multiply the Outer terms: \(3\times(-8b)= -24b\)
Multiply the Inner terms: \(-4b\times3 = -12b\)
Multiply the Last terms: \(-4b\times(-8b)= 32b^2\)

Step2: Combine like terms

Combine the middle terms (\(-24b\) and \(-12b\)):
\(-24b - 12b = -36b\)

Step3: Write the simplified expression

Combine all terms: \(9 - 36b + 32b^2\) (or \(32b^2 - 36b + 9\))

Answer:

\(32b^2 - 36b + 9\)