Question

a trinomial.
(2x + 3)(3x - 2)
attempt 1 out of 2

Explanation:

Step1: Apply the distributive property (FOIL method)

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

Step2: Combine like terms

Combine the middle terms: \(-4x + 9x = 5x\)
So the expanded form is \(6x^2 + 5x - 6\)

Answer:

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