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(1+i) (1-i)la putera -1

Răspuns :

[tex] i^{2}=-1. [/tex] . Aplicam formula :[tex](a+b)(a-b)=a^2- b^2.deci.[(1+i)(1-i)]^-1=[1^2-(i)^2]^-1=[/tex][tex][1-(-1)]^-1=(1+1)^-1= \frac{1}{2} [/tex]. infinal
s-a. aplicat formula; [tex]a^-1= \frac{1}{a}. [/tex]