Question

factorise x cube minus 2 x square - X + 2

Answer 1

Hi friend
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Your answer
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★ FACTORISATION
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x³ - 2x² - x + 2

=> x²(x - 2) - 1(x - 2)

=> (x - 2)(x² - 1)

=> (x - 2){(x)² - (1)²}

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

HOPE IT HELPS

Answer 2

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

Given :

The expression x³ - 2x² - x + 2

To find :

To factorise the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

x³ - 2x² - x + 2

Step 2 of 2 :

Factorise the expression

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

$\sf = {x}^{2}(x - 2 ) - (x - 2)$

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

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

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

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

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