erweitern (2-t)(\H(t-1)-\H(t-2))

Lösung

erweitern

(2 - t) (H (t - 1) - H (t - 2))

2 H (t - 1) - 2 H (t - 2) - t H (t - 1) + t H (t - 2)

Schritte zur Lösung

(2 - t) (H (t - 1) - H (t - 2))

Wende Ausklammerungsregel an (VANI):

(a + b) (c + d) = a c + a d + b c + b d

a = 2, b = - t, c = H (t - 1), d = - H (t - 2)

= 2 H (t - 1) + 2 (- H (t - 2)) + (- t) H (t - 1) + (- t) (- H (t - 2))

Wende Minus-Plus Regeln an

+ (- a) = - a, (- a) (- b) = ab

= 2 H (t - 1) - 2 H (t - 2) - t H (t - 1) + t H (t - 2)

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

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

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

e x p an d - e^{- r t} (x + u)^{0.5} + p (x - u)

e x p an d \frac{2 ( 5 m + 1 )}{m - 6}