vereinfachen-(3/2+5/2 i)+(5/3+11/3 i)

Lösung

vereinfachen

- (\frac{3}{2} + \frac{5}{2} i) + (\frac{5}{3} + \frac{11}{3} i)

\frac{1}{6} + \frac{7}{6} i

Schritte zur Lösung

- (\frac{3}{2} + \frac{5}{2} i) + (\frac{5}{3} + \frac{11}{3} i)

Wende Regel zum Faktorisieren an:

- a - b = - (a + b)

- (\frac{3}{2} + \frac{5}{2} i) + \frac{5}{3} + \frac{11}{3} i = - (\frac{3}{2} + \frac{5}{2} i - (\frac{5}{3} + \frac{11}{3} i))

= - (\frac{3}{2} + \frac{5}{2} i - (\frac{5}{3} + \frac{11}{3} i))

Gruppiere den realen Teil und imaginären Teil der komplexen Zahl

(a + bi) - (c + d i) = (a - c) + (b - d) i

= - ((\frac{3}{2} - \frac{5}{3}) + (\frac{5}{2} - \frac{11}{3}) i)

Wende das Distributivgesetz an:

- (a + b) = - a - b

- ((\frac{3}{2} - \frac{5}{3}) + (\frac{5}{2} - \frac{11}{3}) i) = - (\frac{3}{2} - \frac{5}{3}) - (\frac{5}{2} - \frac{11}{3}) i

= - (\frac{3}{2} - \frac{5}{3}) - (\frac{5}{2} - \frac{11}{3}) i

Vereinfache

- (\frac{3}{2} - \frac{5}{3}) - (\frac{5}{2} - \frac{11}{3}) i : \frac{1}{6} + \frac{7}{6} i

= \frac{1}{6} + \frac{7}{6} i

f a c t or - 2 x^{3} - 6 x^{2} + 56 x

f a c t or x^{2} + 16 + 63

f a c t or 4 x^{2} - 4 x y - 3 y^{2}

- 3 < x < 4

f a c t or 25 - 9 y^{2}