erweitern e^{2(t-3)}cos(w)(t-3)\H(t-3)

Lösung

erweitern

e^{2 (t - 3)} cos (w) (t - 3) H (t - 3)

e^{2 t - 6} t H (t - 3) cos (w) - 3 e^{2 t - 6} H (t - 3) cos (w)

Schritte zur Lösung

e^{2 (t - 3)} cos (w) (t - 3) H (t - 3)

= e^{2 (t - 3)} H (t - 3) cos (w) (t - 3)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = e^{2 (t - 3)} cos (w) H (t - 3), b = t, c = 3

= e^{2 (t - 3)} cos (w) H (t - 3) t - e^{2 (t - 3)} cos (w) H (t - 3) \cdot 3

= e^{2 (t - 3)} t H (t - 3) cos (w) - 3 e^{2 (t - 3)} H (t - 3) cos (w)

Vereinfache

e^{2 (t - 3)} t H (t - 3) cos (w) - 3 e^{2 (t - 3)} H (t - 3) cos (w) : e^{2 t - 6} t H (t - 3) cos (w) - 3 e^{2 t - 6} H (t - 3) cos (w)

= e^{2 t - 6} t H (t - 3) cos (w) - 3 e^{2 t - 6} H (t - 3) cos (w)

e x p an d \frac{x ( x - 1 )}{( x + 7 ) ( x - 6 )}

e x p an d \frac{x ^{2} + 2 x + k}{2 ( x + 2 )}

e x p an d (2, - 3) y (- 5, 4)

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

e x p an d 50 (1 - 0.4 e^{4 x})