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so you have
3+2i/3-2i
or do you mean
(3+2i)/(3-2i)?

do you know what the conjugate of 3-2i is?

multipy numerator and denominator with 3+2i

so how did you get 9+4i^2 is 9?

recall i^2 is -1

so you got it right so far to say
\[\frac{9+6i+6i+4i^2}{9+6i-6i-4i^2}\]

simplify this and you will see you got the answer as it should be written

Thanks so much @myininaya

I think this means you got it
so gj