Respuesta :

2i(4+5i)(4-5i) =82i
4+i nothing more can be done it is at simplest form 

so [tex] \frac{82i}{4+i} [/tex] = [tex] \frac{82}{17} + \frac{328}{17} i [/tex]

so your answer is  [tex] \frac{82}{17} + \frac{328}{17} i [/tex]