🎓 CLEP Exam Prep

Simplify the complex number expression: (4 - 3i)(2 + 5i)

A 8 - 15i
B 23 + 14i
C -7 + 14i
D 23 - 26i

✓ Correct Answer: Option B

Using FOIL: 8 + 20i - 6i - 15i² = 8 + 14i - 15(-1) = 8 + 14i + 15 = 23 + 14i.

💡 Why is B) the correct answer?

The correct answer to the question "Simplify the complex number expression: (4 - 3i)(2 + 5i)" is Option B: 23 + 14i.

The other options — A) 8 - 15i, C) -7 + 14i, D) 23 - 26i — are incorrect for this CLEP Exam Prep question. As explained above: Using FOIL: 8 + 20i - 6i - 15i² = 8 + 14i - 15(-1) = 8 + 14i + 15 = 23 + 14i.

📚 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.

Related CLEP Exam Prep Questions