Answer:
18 - 26i
Step-by-step explanation:
To multiply (2 - 4i)(7 + i), we need to multiply each term of the first factor by each term of the second factor, so
(2 - 4i)(7 + i)
2(7) + 2(i) - 4i(7) - 4i(i)
14 + 2i - 28i - 4i²
Since i² = -1, we get
14 + 2i - 28i - 4(-1)
14 + 2i - 28i + 4
18 - 26i
Therefore, the answer is
18 - 26i