Question

Find the quotient and express it in the simplest form

Answer 1

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

so $\frac{82i}{4+i}$ = $\frac{82}{17} + \frac{328}{17} i$

so your answer is  $\frac{82}{17} + \frac{328}{17} i$