vereinfachen e^{2(1-3i)z}+e^{2(1+3i)z}

Lösung

vereinfachen

e^{2 (1 - 3 i) z} + e^{2 (1 + 3 i) z}

2 e^{2 z} cos (6 z)

Schritte zur Lösung

e^{2 (1 - 3 i) z} + e^{2 (1 + 3 i) z}

e^{2 (1 - 3 i) z} = e^{2 z} (cos (6 z) - i sin (6 z))

e^{2 (1 + 3 i) z} = e^{2 z} (cos (6 z) + i sin (6 z))

= e^{2 z} (cos (6 z) - i sin (6 z)) + e^{2 z} (cos (6 z) + i sin (6 z))

= e^{2 z} (cos (6 z) - i sin (6 z)) + e^{2 z} (cos (6 z) + i sin (6 z))

Multipliziere aus

e^{2 z} (cos (6 z) - i sin (6 z)) : e^{2 z} cos (6 z) - i e^{2 z} sin (6 z)

= e^{2 z} cos (6 z) - i e^{2 z} sin (6 z) + e^{2 z} (cos (6 z) + sin (6 z) i)

Multipliziere aus

e^{2 z} (cos (6 z) + sin (6 z) i) : e^{2 z} cos (6 z) + i e^{2 z} sin (6 z)

= e^{2 z} cos (6 z) - i e^{2 z} sin (6 z) + e^{2 z} cos (6 z) + i e^{2 z} sin (6 z)

Vereinfache

e^{2 z} cos (6 z) - i e^{2 z} sin (6 z) + e^{2 z} cos (6 z) + i e^{2 z} sin (6 z) : 2 e^{2 z} cos (6 z)

= 2 e^{2 z} cos (6 z)

e x p an d (- 1, 2) y (2, - 3)

e x p an d (1998 - 400 \cdot ln (\frac{400}{25})) - (1998 - 400 \cdot ln (20))

e x p an d \frac{( 2 x - 3 ) ^{3}}{8}

e x p an d \frac{a ( 2 x + 1 ) + 2}{a ( - x w - 1 + w )}

e x p an d \frac{( 2 x - 3 ) ^{3}}{6}