Basisbewerkingen gemengd (a+bi)

Bereken

\(\frac{8-2i}{6-4i}\)

\(\frac{8-2i}{6-4i}= \frac{8-2i}{6-4i} \cdot \frac{6+4i}{6+4i} = \frac{48+32i -12 i-8i^2 }{(6)^2-(-4i)^2} = \frac{48+32i -12 i+8}{36 + 16} = \frac{56+20i }{52} = \frac{14}{13} - \frac{-5}{13}i \)