Question

Factorise the following (x^3-x) class 9 cbse

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: x(x + 1)(x - 1)

Explanation:

x^3 - x

= x(x^2 - 1)

Now, we know (a^2 - b^2) = (a + b)(a - b).

Therefore (x^2 - 1) = (x + 1)(x - 1)

= x(x^2 - 1) = x(x + 1)(x - 1).