What is the product of the complex numbers (2 + 3i) and (1 - 2i)?

A 8 + 7i

B 8 - i

C 2 - 6i

D 2 - i

✓ Correct Answer: Option B

Using FOIL: (2)(1) + (2)(-2i) + (3i)(1) + (3i)(-2i) = 2 - 4i + 3i - 6i². Since i² = -1, this simplifies to 2 - i + 6 = 8 - i.

💡 Why is B) the correct answer?

The correct answer to the question "What is the product of the complex numbers (2 + 3i) and (1 - 2i)?" is Option B: 8 - i.

The other options — A) 8 + 7i, C) 2 - 6i, D) 2 - i — are incorrect for this CLEP Exam Prep question. As explained above: Using FOIL: (2)(1) + (2)(-2i) + (3i)(1) + (3i)(-2i) = 2 - 4i + 3i - 6i². Since i² = -1, this simplifies to 2 - i + 6 = 8 - i.

📚 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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What is the product of the complex numbers (2 + 3i) and (1 - 2i)?

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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