Problem 196 of 7
Compare equivalent rational-expression rewrites: (x^2+2x+1)/(x+1) and (x^2+2x+1)/(x-1).
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
verify algebraic equivalence.
Hidden until you reveal it.
Compare algebraic value and domain restrictions.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Transform both forms to a common rational expression.
2. Check numerator identity or simplification.
3. Compare domains and restrictions.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Declaring equivalence while ignoring original restrictions.