Question

How to factorise x 3 -x

Answer 1

Answer:

$x(x-1)(x+1)$

Step-by-step explanation:

Given : $x^3 - x$

To Find : Factorize

Solution :

$x^3 - x$

Take x as common

$x(x^2 - 1)$

Property : $x^2-a^2=(x-a)(x+a)$

Applying the property

$x(x-1)(x+1)$

So, Factorization of  $x^3 - x$ is $x(x-1)(x+1)$

Answer 2

Answer:

x(x-1) (x+1)

Step-by-step explanation:

x(x² - 1)

x{(x²) - (1)²} Appliying property a²-b²=(a+b) (a-b)

x² - a² = (x-a) (x+a)

hence x(x-1) (x+1)

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