Question

Factorise:
x3+x2-x-1​

Answer 1

x3−x2−x+1=x3−x2−(x−1)=x2(x−1)−(x−1)=(x−1)(x2−1)=(x−1)[(x−1)(x+1)]=(x+1)(x−1)2

Answer 2

x3 + x2 - x - 1

x2 ( x + 1 ) - 1 ( x + 1 )

( x + 1 ) ( x2 - 1 )