Question 112595
*[Tex \LARGE \frac{4+3i}{2+3i}] Start with the given expression


*[Tex \LARGE \left(\frac{4+3i}{2+3i}\right)\left(\frac{2-3i}{2-3i}\right)] Multiply the fraction by *[Tex \LARGE \frac{2-3i}{2-3i}]. Remember *[Tex \LARGE 2-3i] is the complex conjugate of *[Tex \LARGE 2+3i]


*[Tex \LARGE \frac{17-6i}{13}] Foil and Multiply



*[Tex \LARGE \frac{17}{13}-\frac{6}{13}i] Break up the fraction. So it is now in {{{a+bi}}} form where {{{a=17/13}}} and {{{b=-6/13}}}