[tex] \frac{4}{3-2i} [/tex]
multiply it by [tex] \frac{3+2i}{3+2i} [/tex]
[tex] \frac{4(3+2i)}{3^2-(2i)^2} [/tex]=
[tex] \frac{12+8i)}{9-(-4)} [/tex]=
[tex] \frac{12+8i)}{13} [/tex]=
[tex] \frac{12}{13}+ \frac{2i}{13} [/tex]=
[tex] \frac{12}{13}+ \frac{2}{13}i [/tex]
