Question

One of the factors (x^3-1)-(x-1) is

Answer 1

Step-by-step explanation:

$( {x}^{3} - 1) - (x - 1) \\ = (x - 1)( {x}^{2} + x + 1) - (x - 1) \\ = (x - 1)( {x}^{2} + x + 1 - 1) \\ = (x - 1)( {x}^{2} + x) \\ = (x - 1)(x(x + 1)) \\ = x(x + 1)(x - 1)$