erweitern A(36e^{6t-3e^t}-39e^{7t-3e^t}+9e^{8t-3e^t})

Lösung

erweitern

A (36 e^{6 t - 3 e^{t}} - 39 e^{7 t - 3 e^{t}} + 9 e^{8 t - 3 e^{t}})

36 A e^{6 t - 3 e^{t}} - 39 A e^{7 t - 3 e^{t}} + 9 A e^{8 t - 3 e^{t}}

Schritte zur Lösung

A (36 e^{6 t - 3 e^{t}} - 39 e^{7 t - 3 e^{t}} + 9 e^{8 t - 3 e^{t}})

Setze Klammern

= A \cdot 36 e^{6 t - 3 e^{t}} + A (- 39 e^{7 t - 3 e^{t}}) + A \cdot 9 e^{8 t - 3 e^{t}}

Wende Minus-Plus Regeln an

+ (- a) = - a

= 36 A e^{6 t - 3 e^{t}} - 39 A e^{7 t - 3 e^{t}} + 9 A e^{8 t - 3 e^{t}}

e x p an d - \frac{3 x ( x - 1 ) ( x - 3 )}{4}

s im pl i f y 20 (20 + \frac{p}{5})

e x p an d - 2 (2 e^{- x^{2}} \cdot x^{2} + e^{- x^{2}})

e x p an d \frac{- 8 s - 160}{13 ( s ^{2} + 4 s + 5 )}

e x p an d 1 + \frac{\frac{1}{c}}{x + y}