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Regel

Komplexkonjugatet av en summa

Komplexkonjugatet av en summa kan skrivas som summan av konjugaten.

Det här kan visas genom att skriva talen på rektangulär form, t.ex.
och utveckla vänsterledet. Notera att med dessa val blir konjugaten och
z1+z2
a+bi+c+di

\OT

a+c+bi+di
a+c+i(b+d)
a+ci(b+d)
a+c(bi+di)
a+cbidi

\OT

abi+cdi
Alltså är
Q.E.D.

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