Simplify the expression (2 - 3i)(1 + 4i).
✓ Correct Answer: Option B
Use the FOIL method: (2)(1) + (2)(4i) + (-3i)(1) + (-3i)(4i) = 2 + 8i - 3i - 12i^2. Substitute i^2 = -1 to get 2 + 5i + 12 = 14 + 5i.
Use the FOIL method: (2)(1) + (2)(4i) + (-3i)(1) + (-3i)(4i) = 2 + 8i - 3i - 12i^2. Substitute i^2 = -1 to get 2 + 5i + 12 = 14 + 5i.