Question

what will be the factorised form of x cube+ x square - x-1​

Answer 1

Answer:

(x+1)² (x−1)

Step-by-step explanation:

Factor

x3+x2−x−1

The idea of grouping

x2with - 1

looks really tempting

because it's the Difference of Two Squares..

Find a useful grouping

(x3−x)+(x2−1)

Factor each group

x(x2−1)+1(x2−1)

Factor out

(x2−1)

from each group

(x2−1)(x+1)

Factor (x2−1)

as the Difference of Two Squares

(x−1)(x+1)(x+1)← answer

You can write it this way if you want:

(x+1)2(x−1)← same answer

That's your answer. Please mark as BRAINLIEST.