Question

What is the product of the complex numbers below? (4-2)(1 + 71 O A. 18-301 O B. -10-301 O C. -10 + 261 D. 18 + 267

Answer 1

Given:

$(4-2i)(1+7i_{})$

To find: The product of the complex numbers

Explanation:

On multiplication we get,

$(4-2i)(1+7i_{})=4+28i-2i-14(i^2)$

We know that

$i^2=-1$

Using the above identity, we get

$\begin{gathered} =4+28i-2i-14(-1) \\ =4+26i+14 \\ =18+26i \end{gathered}$

Final answer: Option D

$18+26i$