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Beliebt Algebra >

vereinfachen (2-2i^3)/(3-i^5)+(-2i)/(1-i)

Lösung

vereinfachen

\frac{2 - 2 i ^{3}}{3 - i ^{5}} + \frac{- 2 i}{1 - i}

Lösung

\frac{7}{5} - \frac{1}{5} i

Schritte zur Lösung

\frac{2 - 2 i ^{3}}{3 - i ^{5}} + \frac{- 2 i}{1 - i}

\frac{2 - 2 i ^{3}}{3 - i ^{5}} = \frac{2 ( 1 + 2 i )}{5}

\frac{- 2 i}{1 - i} = - i + 1

= \frac{2 ( 1 + 2 i )}{5} - i + 1

Füge zusammen:

\frac{2 ( 1 + 2 i )}{5} - i + 1 : \frac{- i + 7}{5}

= \frac{- i + 7}{5}

Rewrite in standard complex form:

\frac{7}{5} - \frac{1}{5} i

= \frac{7}{5} - \frac{1}{5} i

Beliebte Beispiele

(2x+2)^2+(4x)^2<(5x+1)^2

(2 x + 2)^{2} + (4 x)^{2} < (5 x + 1)^{2}

6(n+3)+2>3(n+2)+6

6 (n + 3) + 2 > 3 (n + 2) + 6

0.4r-0.13-0.7r=3r-5.74

0.4 r - 0.13 - 0.7 r = 3 r - 5.74

5 (x^{2} - 2) - 5 = 5

3 v > 6