Multiply the complex numbers: (2 + 3i)(1 - 2i)

A 8 - i

B -4 + 7i

C 8 + 7i

D -4 - i

✓ Correct Answer: Option A

Using FOIL: 2(1) + 2(-2i) + 3i(1) + 3i(-2i) = 2 - 4i + 3i - 6i². Substitute i² = -1: 2 - i - 6(-1) = 2 - i + 6 = 8 - i.

💡 Why is A) the correct answer?

The correct answer to the question "Multiply the complex numbers: (2 + 3i)(1 - 2i)" is Option A: 8 - i.

The other options — B) -4 + 7i, C) 8 + 7i, D) -4 - 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. Substitute i² = -1: 2 - i - 6(-1) = 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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Multiply the complex numbers: (2 + 3i)(1 - 2i)

✓ Correct Answer: Option A

📚 About This CLEP Exam Prep Practice Question

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