Question

Section 1 - Question 14Multiply.(2 - 4i) (7 + i)

Answer 1

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