Re: Division of two complex numbers

Am 20.01.2025 23:26:19 Moebius schrieb:

Am 20.01.2025 um 23:21 schrieb Tom Bola:
 

The binomial formula is (a + b)^2 = a^2 + 2ab + b^2 it is not about
(0, 1)^2 or (a, b)^2.

 Sure, but remember the definition of a complex number: Z = a+bi, i^2 = -1.
 See?

 See WHAT?!
 Was wir hier brauchen, ist die Definition der MULTIPLIKATION (*) auf C = {(x, y) : x,y e IR}.
 DARAUS folgt dann
        i * i = (0, 1) * (0, 1) = ... = (-1, 0)
 See?

 Ja! This is fully straight plus absolutely correct.  I was just looking for some idea. Aside from that please have a look here:  (english readers just look for "binomisch")
 https://www.math.kit.edu/iana2/~mandel/seite/schnupperkurs/media/komplex.pdf  See?