Question

Expand and simplify

(x-2)(2x+3)(x+1)

Answer 1

(x-2) [(2x+3)(x+1)]

(x-2)[(2x²+2x+3x+3)]

(x-2)[(2x²+5x+3)]

(x-2) (2x²+5x+3)

2x³+5x²+3x-4x²-10x-6

Answer = 2x³+x²-7x-6

Answer 2

2x³ + x² - 7x - 6

Explanation:

(x-2)(2x+3)(x+1)

first: (x-2)(2x+3) = 2x² + 3x - 4x -6 = 2x² - x - 6

second: (2x² - x - 6)(x+1) = 2x³ + 2x² - x² - x - 6x - 6 = 2x³ + x² - 7x - 6