Question

Factorise this question

X³-x

Answer 1

Correction in your question,

Correct question = x³ - x


=================

x³ - x

=> x(x² - 1)

=> x(x² - 1²)

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

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



I hope this will help you



(-:

Answer 2

x³ - x = x ( x + 1 ) ( x - 1 )

Given :

The expression x³ - x

To find :

To factorise the expression

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is x³ - x

Step 2 of 2 :

Factorise the expression

We use the formula a² - b² = ( a + b ) ( a - b )

Thus we get

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

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

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

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

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