Question

Factorise x cubed - x

Answer 1

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

Explanation:

Given the expression x³ - x

On factorizing

x³ - x

= x(x²-1)

Using difference of two square

a² - b² = (a+b) (a-b)

x² - 1

= x² - 1²

= (x+1)(x-1)

The complete factor

x³ - x

= x(x²-1)

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