erweitern e^{8t}*t(f(t-8)\H(t-8))

Lösung

erweitern

e^{8 t} \cdot t (f (t - 8) H (t - 8))

e^{8 t} t^{2} f H (t - 8) - 8 e^{8 t} t f H (t - 8)

Schritte zur Lösung

e^{8 t} t (f (t - 8) H (t - 8))

Entferne die Klammern:

(a) = a

= e^{8 t} t f (t - 8) H (t - 8)

= e^{8 t} t f H (t - 8) (t - 8)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = e^{8 t} t f H (t - 8), b = t, c = 8

= e^{8 t} t f H (t - 8) t - e^{8 t} t f H (t - 8) \cdot 8

= e^{8 t} tt f H (t - 8) - 8 e^{8 t} t f H (t - 8)

e^{8 t} tt f H (t - 8) = e^{8 t} t^{2} f H (t - 8)

= e^{8 t} t^{2} f H (t - 8) - 8 e^{8 t} t f H (t - 8)

e x p an d (- 7, - 2) y (- 6, 7)

e x p an d ln (b^{2} + (x - a)^{2})

e x p an d \frac{4 x ^{2} - 6 x}{3 ( x - 3 ) ( x ^{2} + 9 )}

e x p an d \frac{1}{1 - cos ( 3 0 ^{\circ} )} - \frac{1}{1 + cos ( 3 0 ^{\circ} )}

e x p an d (2 x - 3 y^{2}) d x + (- y^{3}) d y