Question

Multiplique e simplifique os seguintes números complexos

(-4+4¡). (3+2¡)

Me ajudem por favor

Answer 1

$Lembrando~que~\sqrt{-1}=i~~e,~consequentemente,~i^2=-1.\\Podemos~aplicar~a~propriedade~distributiva~da~multiplicacao:\\\\\\(-4+4i)\,.\,(3+2i)\\\\\\(-4)~.~3~+~(-4)~.~2i~+~4i~.~3~+~4i~.~2i\\\\\\-12~-~8i~+~12i~+~8i^2\\\\\\-12~+~4i~+~8~.~(-1)\\\\\\-12~+~4i~-~8\\\\\\\boxed{-20\,+\,4i}$