Question 139806
*[Tex \LARGE \frac{6-5i}{8+4i}] Start with the given expression


*[Tex \LARGE \left(\frac{6-5i}{8+4i}\right)\left(\frac{8-4i}{8-4i}\right)] Multiply the fraction by *[Tex \LARGE \frac{8-4i}{8-4i}]


*[Tex \LARGE \frac{28-64i}{80}] Foil and Multiply



*[Tex \LARGE \frac{28}{80}-\frac{64}{80}i] Break up the fraction. 



*[Tex \LARGE \frac{7}{20}-\frac{4}{5}i] Reduce. So the expression is now in {{{a+bi}}} form where {{{a=7/20}}} and {{{b=-4/5}}}