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Frank Nielsen · Answer 1 · 2023-10-21T13:04:08+0000

Solution:

Given:

To find the product, we multiply the terms in the second parentheses by each term in the first parentheses.

Thus, we have

$\begin{gathered} 3(1+7i)-2i(1+7i) \\ open\text{ parentheses,} \\ 3+21i-2i-14i^2 \\ but\text{ i}^2=-1 \\ thus,\text{ we have} \\ 3+21i-2i-14(-1) \\ collect\text{ like terms,} \\ (3+14)+i(21-2) \\ \Rightarrow17+19i \end{gathered}$

Hence, the product of the complex numbers is

The correct option is B

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