Simplify: (2+3i)(1−i) where i = √(−1)

A −1+5i

B 5+i

C 5−i

D −1−i

✓ Correct Answer: Option B

(2+3i)(1−i) = 2−2i+3i−3i² = 2+i−3(−1) = 2+i+3 = 5+i.

💡 Why is B) the correct answer?

The correct answer to the question "Simplify: (2+3i)(1−i) where i = √(−1)" is Option B: 5+i.

The other options — A) −1+5i, C) 5−i, D) −1−i — are incorrect for this CLEP Exam Prep question. As explained above: (2+3i)(1−i) = 2−2i+3i−3i² = 2+i−3(−1) = 2+i+3 = 5+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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Simplify: (2+3i)(1−i) where i = √(−1)

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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