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

question 1

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) \(\frac { 27 } { 8 } + \frac { 83 } { 8 } i\)

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