Question

factorise x cube minus 2 x square minus x + 2​

Answer 1

Step-by-step explanation:

x³ - 2x² - x + 2

Factor out x² from the expression

x² × ( x - 2 ) - x + 2

x² × ( x - 2 ) - ( x - 2 )

Factor out x - 2 from the expression

( x - 2 ) × ( x² - 1 )

Using a² - b² = ( a - b ) ( a + b ) ,

factor the expression

( x - 2 ) × ( x - 1 ) × ( x + 1 )

Here is your answer....

I hope it will help you

Answer 2

Answer:

$x {}^{3 } - x - 2x {}^{2} + 2 \\ x(x {}^{2} - 1) - 2(x {}^{2} - 1) \\ (x {}^{2} - 1) \: \: (x - 2) \\ {(x {}^{2} }) - (1) {}^{2} \times (x - 2) \\ (x + 1)(x - 1)(x + 2)$