Question

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

Explanation:

Step1: Apply the distributive property (FOIL method)

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

Step2: Combine like terms

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

Answer:

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