📐 Mathematics

Simplify: (2a+b)² - (2a-b)²

A 4ab
B 8ab
C 4a²
D 4b²

✓ Correct Answer: Option B

Using identity: (x+y)²-(x-y)² = 4xy. Here x=2a, y=b. = 4(2a)(b) = 8ab.

💡 Why is B) the correct answer?

The correct answer to the question "Simplify: (2a+b)² - (2a-b)²" is Option B: 8ab.

The other options — A) 4ab, C) 4a², D) 4b² — are incorrect for this Mathematics question. As explained above: Using identity: (x+y)²-(x-y)² = 4xy. Here x=2a, y=b. = 4(2a)(b) = 8ab.

📚 About This Mathematics Practice Question

This 2-level Mathematics question from the Algebra topic is part of One Paper Preparation'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 Mathematics practice test or use flashcards for spaced repetition review.

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