Question

Factories x³ -2x² -x +2​

Answer 1

Answer:

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

Step-by-step explanation:

Question:

Factories x³ -2x² -x + 2

Solution:

x³ -2x² -x + 2

• If we take x² common in x³ - 2x²

x³ - 2x²

= x²(x - 2)

• If we take -1 common in -x + 2

-x + 2

= -1(x - 2)

●Now, Let's solve:-

x³ -2x² -x + 2

= x²(x - 2) -1(x - 2)

= (x - 2)(x² - 1)

☆We know that,

a² - b² = (a + b)(a - b)

•Now, we can write x² - 1 as

x² - 1²

= (x + 1)(x - 1)

☆Let's factorise now,

x³ - 2x² - x + 2

= x²(x - 2) -1(x - 2)

= (x - 2) (x² - 1)

= (x - 2) (x² - 1²)

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