erweitern Re(3+j^2)Im(2-j)

Lösung

erweitern

R e (3 + j^{2}) I m (2 - j)

6 e R I m - 3 e j R I m + 2 e j^{2} R I m - e j^{3} R I m

Schritte zur Lösung

R e (3 + j^{2}) I m (2 - j)

= e R I m (3 + j^{2}) (2 - j)

Multipliziere aus

(3 + j^{2}) (2 - j) : 6 - 3 j + 2 j^{2} - j^{3}

= R e I m (6 - 3 j + 2 j^{2} - j^{3})

Multipliziere aus

R e I m (6 - 3 j + 2 j^{2} - j^{3}) : 6 e R I m - 3 e j R I m + 2 e j^{2} R I m - e j^{3} R I m

= 6 e R I m - 3 e j R I m + 2 e j^{2} R I m - e j^{3} R I m

e x p an d (x - (1 - 5 i)) (x - (1 + 5 i))

s im pl i f y (3 x - 2 + \frac{1}{x - 1}) \cdot 2

e x p an d \frac{1}{s ( s ^{2} - k ^{2} )}

e x p an d \frac{x ^{2}}{2 ( 1 + x ^{2} )}

s im pl i f y (1 - \frac{1 + x}{2 x}) \cdot (x)