Question

factororise ( x^3-x)

Answer 1

Answer:

x(x−1)(x+1)

Step-by-step explanation:

Given : x^3 - xx 3−x

To Find : Factorize

Solution :

x^3 - xx

3

−x

Take x as common

x(x^2 - 1)x(x 2−1)

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

2

−a

2

=(x−a)(x+a)

Applying the property

x(x-1)(x+1)x(x−1)(x+1)

So, Factorization of x^3 - xx

3

−x is x(x-1)(x+1)x(x−1)(x+1)

Answer 2

Answer:

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

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

$\sf{x(x+1)(x-1)}$