Question

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

Explanation:

Step1: Apply the distributive property (FOIL method)

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

Step2: Combine like terms

Combine the \(x\)-terms: \(-9x + 4x = -5x\)
So the expression becomes \(6x^2 - 5x - 6\)

Answer:

\(6x^2 - 5x - 6\)