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Beliebt Algebra >

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

Lösung

erweitern

(t - 1)^{2} (H (t - 1) - H (t - 2))

Lösung

t^{2} H (t - 1) - 2 t H (t - 1) + H (t - 1) - t^{2} H (t - 2) + 2 t H (t - 2) - H (t - 2)

Schritte zur Lösung

(t - 1)^{2} (H (t - 1) - H (t - 2))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = (t - 1)^{2}, b = H (t - 1), c = H (t - 2)

= (t - 1)^{2} H (t - 1) - (t - 1)^{2} H (t - 2)

= H (t - 1) (t - 1)^{2} - H (t - 2) (t - 1)^{2}

Vereinfache

H (t - 1) (t - 1)^{2} - H (t - 2) (t - 1)^{2} : t^{2} H (t - 1) - 2 t H (t - 1) + H (t - 1) - t^{2} H (t - 2) + 2 t H (t - 2) - H (t - 2)

= t^{2} H (t - 1) - 2 t H (t - 1) + H (t - 1) - t^{2} H (t - 2) + 2 t H (t - 2) - H (t - 2)

Beliebte Beispiele

erweitern (2(sqrt(15)-sqrt(7)))/(1+sqrt(3)+\sqrt{5)+sqrt(7)}

e x p an d \frac{2 ( 15 - 7 )}{1 + 3 + 5 + 7}

erweitern y(x+y+1)dx+(x+2y)dy

e x p an d y (x + y + 1) d x + (x + 2 y) d y

erweitern (2(6-2x)^3)/(27)

e x p an d \frac{2 ( 6 - 2 x ) ^{3}}{27}

erweitern (5s+7)/(3(s+2)(s+1))

e x p an d \frac{5 s + 7}{3 ( s + 2 ) ( s + 1 )}

erweitern (e^y+6x)dx+xe^ydy

e x p an d (e^{y} + 6 x) d x + x e^{y} d y