Question

multiply.
(5b + 3)(3b - 8)
simplify your answer.

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(5b \times 3b = 15b^2\)
Multiply the Outer terms: \(5b \times (-8) = -40b\)
Multiply the Inner terms: \(3 \times 3b = 9b\)
Multiply the Last terms: \(3 \times (-8) = -24\)

Step2: Combine like terms

Combine the middle terms: \(-40b + 9b = -31b\)
Now, combine all terms: \(15b^2 - 31b - 24\)

Answer:

\(15b^2 - 31b - 24\)