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

Given:
[tex](4-2i)(1+7i_{})[/tex]To find: The product of the complex numbers
Explanation:
On multiplication we get,
[tex](4-2i)(1+7i_{})=4+28i-2i-14(i^2)[/tex]We know that
[tex]i^2=-1[/tex]Using the above identity, we get
[tex]\begin{gathered} =4+28i-2i-14(-1) \\ =4+26i+14 \\ =18+26i \end{gathered}[/tex]Final answer: Option D
[tex]18+26i[/tex]