Question

x^3- 2x² - x + 2
Factorise :​

Answer 1

Step-by-step explanation:

Factorise x³-2x²-x+2→

x³-2x²-x+2

=> x²(x-2)-1(x-2)

=> (x²-1)(x-2)

(1 can be Expressed as 1²)

=> (x²-1²)(x-2)

(a²-b² = (a+b)(a-b))

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

The factors of x³-2x²-x+2 are→

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

Answer 2

Answer:

${x}^{3} - 2 {x}^{2} - x + 2$

$= {x}^{2}(x - 2) - 1(x - 2)$

$= ( {x}^{2} - 1)(x - 2)$

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

Step-by-step explanation:

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