How do I simplify 1-8i/8-9i?

My teacher got 64/17 + 55i/17  ....I got the answer: 80/145 - 55i/145

I think the teacher is wrong on this one.  Any help?
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1 Answer

(1-8i)(8+9i)/(64+81)=

(8-55i+72)/145=

(80-55i)/145=(16-11i)/29.
by Top Rated User (1.1m points)

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