Question

factories x3-2x×2-X+2​

Answer 1

Answer:

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

Step-by-step explanation:

x³ - 2x² - x + 2 = x³ - x - 2x² + 2

By grouping the first two and last two terms,

x³ - x - 2x² + 2 = x(x² - 1) -2(x² - 1)

                        = (x² - 1)(x - 2)

                        = (x² - 1²)(x - 2)

By using identity: (a² - b²) = (a+b)(a-b)

(x² - 1²)(x - 2) = (x + 1)(x - 1)(x - 2)