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Complex number - Wikipedia tive and distributive properties) = ( a c − b d ) + ( b c + a d ) i {\displaystyle =(ac-bd)+(bc+ad)i} (fundamental property of i). The division of two complex numbers is defined in terms of comp<span>lex multiplication, which is described above, and real division. When at least one of c and d is non-zero, we have a + b i c + d i = ( a c + b d c 2 + d 2 ) + ( b c − a d c 2 + d 2 ) i . {\displaystyle {\
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