Please any help with this question?
If you could please let me know the steps for the answer.
Simplifying this expression by factoring:
[(x + 1) (x - 1)^2 - (x - 1)^3)]/[(x + 1)^2]
Thank you in advance.
$\displaystyle \frac{(x + 1)(x - 1)^2 - (x - 1)^3}{(x + 1)^2}$.
Can you see that there is a common factor of $\displaystyle (x - 1)^2$ in the numerator?
So $\displaystyle \frac{(x + 1)(x - 1)^2 - (x - 1)^3}{(x + 1)^2} = \frac{(x-1)^2[x+1 - (x-1)]}{(x+1)^2}$.
Now simplify and see if you have any common factors in the numerator and denominator that can be cancelled.