🎓 CLEP Exam Prep

Simplify the complex number expression: (3 - 2i)(1 + 4i).

A 11 - 10i
B 11 + 10i
C 3 - 8i
D 3 + 10i

✓ Correct Answer: Option B

Multiply the complex numbers using FOIL: (3)(1) + (3)(4i) + (-2i)(1) + (-2i)(4i) = 3 + 12i - 2i - 8i². Since i² = -1, this becomes 3 + 10i - 8(-1) = 3 + 10i + 8 = 11 + 10i.

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