Simplify: (3 + 2i)(3 − 2i)

A 9 − 4i²

B 13

C 5

D 9 + 4i

✓ Correct Answer: Option B

Using difference of squares: (3)² − (2i)² = 9 − 4i² = 9 − 4(−1) = 9 + 4 = 13.

💡 Why is B) the correct answer?

The correct answer to the question "Simplify: (3 + 2i)(3 − 2i)" is Option B: 13.

The other options — A) 9 − 4i², C) 5, D) 9 + 4i — are incorrect for this SAT Exam Prep question. As explained above: Using difference of squares: (3)² − (2i)² = 9 − 4i² = 9 − 4(−1) = 9 + 4 = 13.

📚 About This SAT Exam Prep Practice Question

This 3-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: (3 + 2i)(3 − 2i)

✓ Correct Answer: Option B

📚 About This SAT Exam Prep Practice Question

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