Simplify: (x − 1)/(x² − 1)

A 1/(x − 1)

B 1/(x + 1)

C x − 1

D x + 1

✓ Correct Answer: Option B

x² − 1 = (x−1)(x+1). So (x−1)/((x−1)(x+1)) = 1/(x+1), for x ≠ 1.

💡 Why is B) the correct answer?

The correct answer to the question "Simplify: (x − 1)/(x² − 1)" is Option B: 1/(x + 1).

The other options — A) 1/(x − 1), C) x − 1, D) x + 1 — are incorrect for this SAT Exam Prep question. As explained above: x² − 1 = (x−1)(x+1). So (x−1)/((x−1)(x+1)) = 1/(x+1), for x ≠ 1.

📚 About This SAT Exam Prep Practice Question

This 2-level SAT Exam Prep question from the Math (No Calculator) topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free SAT Exam Prep practice test or use flashcards for spaced repetition review.

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Simplify: (x − 1)/(x² − 1)

✓ Correct Answer: Option B

📚 About This SAT Exam Prep Practice Question

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