Question

Please explain how to simplify this:
(x^3+x^2-x-1)/(x^3-x^2-x+1)

Answer 1

Do you know how to factor the numerator / denominator?
It looks like, if you group the first two terms and the last two terms in each expression, you can factor both by grouping.
(x^3 + x^2) + (-x - 1),
(x^3 - x^2) + (-x + 1)

Answer 2

let me try

Answer 3

Hmm... were you able to get it?

Answer 4

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

(x^2)(x - 1) + (-1)(x - 1) = (x^2 - 1)(x - 1)
x^2 - 1 cancels
You are left with: (x + 1)/(x - 1)

Answer 5

I got it thanks