<PRE><B>Question 120432</B>
*[Tex \LARGE \frac{9+8i}{10-10i}] Start with the given expression


*[Tex \LARGE \left(\frac{9+8i}{10-10i}\right)\left(\frac{10+10i}{10+10i}\right)] Multiply the fraction by *[Tex \LARGE \frac{10+10i}{10+10i}]


*[Tex \LARGE \frac{10+170i}{200}] Foil and Multiply



*[Tex \LARGE \frac{10}{200}+\frac{170}{200}i] Break up the fraction.



*[Tex \LARGE \frac{1}{20}+\frac{17}{20}i] Reduce. So it is now in {{{a+bi}}} form where {{{a=1/20}}} and {{{b=17/20}}}

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