Question

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

Answer 1

x^3 - 2x^2 - x + 2

= x^2 (x-2) - 1(x-2)

= (x-2)(x^2 - 1)

= (x-2)[ (x)^2 - (1)^2]

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

Answer 2

x³ - 2x² - x + 2

=> x²( x - 2 ) - ( x - 2 )

=> ( x - 2 ) ( x² - 1 )

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