Simplify the rational expression: (x² - 4x + 4) / (x² - 4)

A (x+2)/(x-2)

B (x-2)/(x+2)

C 1

D x-2

✓ Correct Answer: Option B

Factor the numerator as (x-2)² and the denominator as (x-2)(x+2). Cancel out the common factor (x-2), leaving (x-2)/(x+2).

💡 Why is B) the correct answer?

The correct answer to the question "Simplify the rational expression: (x² - 4x + 4) / (x² - 4)" is Option B: (x-2)/(x+2).

The other options — A) (x+2)/(x-2), C) 1, D) x-2 — are incorrect for this CLEP Exam Prep question. As explained above: Factor the numerator as (x-2)² and the denominator as (x-2)(x+2). Cancel out the common factor (x-2), leaving (x-2)/(x+2).

📚 About This CLEP Exam Prep Practice Question

This 2-level CLEP Exam Prep question from the College Algebra 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 CLEP Exam Prep practice test or use flashcards for spaced repetition review.

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Simplify the rational expression: (x² - 4x + 4) / (x² - 4)

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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