Answer:
31 - 5i
Step-by-step explanation:
(7 - 3i) * (4 + i)
Step 1: Multiply complex numbers 7 − 3i and 4 + i like you multiply binomials.
7 * 4 + 7i - 3i * 4 - 3i²
Step 2: By definition, i² is -1.
7 * 4 + 7i - 3i * 4 - 3 ( - 1)
Step 3: Do the multiplications.
28 + 7i - 12i + 3
Step 4: Combine the real & imaginary parts.
28 + 3 + (7 - 12)i
Step 5: Do the additions.
31 - 5i
The product of (7 - 3i) and 4 + i is 31 - 5i.
