Answer:
B, or 14 + 22i.
Step-by-step explanation:
When multiplying complex numbers, use the FOIL method.
Therefore:
(5 + 3i)(4 + 2i)
FOIL the equation:
5×4 + 5 × 2i + 3i × 4 + 3i × 2i
Simplify. Remember that i² = -1.
20 + 10i + 12i -6
Combine like terms:
14 + 22i
Therefore, the solution is B, or 14 + 22i.
