Question

what is the simplest form of this expression?
(2x - 3)(3x² + 2x - 1)
a. 6x³ - 5x² - 8x + 3
b. 6x³ - 5x² - 6x + 2
c. 6x³ - 9x² - 4x + 3
d. 6x³ - 2x² - 8x + 3

Explanation:

Step1: Distribute \(2x\) to each term

\(2x(3x^2 + 2x - 1) = 6x^3 + 4x^2 - 2x\)

Step2: Distribute \(-3\) to each term

\(-3(3x^2 + 2x - 1) = -9x^2 - 6x + 3\)

Step3: Combine the two results

\((6x^3 + 4x^2 - 2x) + (-9x^2 - 6x + 3) = 6x^3 - 5x^2 - 8x + 3\)

Answer:

A. \(6x^3 - 5x^2 - 8x + 3\)