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

Step-by-step 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`