Perform the Following Operation and Write the Result in Standard $$\frac { 9 i } { 9 + i } + \frac { 2 } { 9 - i }$$

Multiple Choice

Perform the following operation and write the result in standard form.
$$\frac { 9 i } { 9 + i } + \frac { 2 } { 9 - i }$$

A) $\frac { 9 } { 40 } + \frac { 83 } { 80 } i$

B) $\frac { 27 } { 10 } + \frac { 83 } { 10 } i$

C) $\frac { 1 } { 41 } + \frac { 9 } { 82 } i$

D) $\frac { 27 } { 82 } + \frac { 83 } { 82 } i$

E) $\frac { 27 } { 8 } + \frac { 83 } { 8 } i$