erweitern (t-1)^2(\H(t-1)-\H(t-4))

Lösung

erweitern

(t - 1)^{2} (H (t - 1) - H (t - 4))

t^{2} H (t - 1) - 2 t H (t - 1) + H (t - 1) - t^{2} H (t - 4) + 2 t H (t - 4) - H (t - 4)

Schritte zur Lösung

(t - 1)^{2} (H (t - 1) - H (t - 4))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = (t - 1)^{2}, b = H (t - 1), c = H (t - 4)

= (t - 1)^{2} H (t - 1) - (t - 1)^{2} H (t - 4)

= H (t - 1) (t - 1)^{2} - H (t - 4) (t - 1)^{2}

Vereinfache

H (t - 1) (t - 1)^{2} - H (t - 4) (t - 1)^{2} : t^{2} H (t - 1) - 2 t H (t - 1) + H (t - 1) - t^{2} H (t - 4) + 2 t H (t - 4) - H (t - 4)

= t^{2} H (t - 1) - 2 t H (t - 1) + H (t - 1) - t^{2} H (t - 4) + 2 t H (t - 4) - H (t - 4)

e x p an d x (- 7, - 4, - 1, 2) y (- 7, 14, 35, 56)

e x p an d \frac{10}{( s ( s + 6 ) ( s + 9 ) )}

e x p an d 2 \frac{1 0 ^{2} \cdot 3 - 2 ^{4}}{2 - 3} - (5^{2} \cdot 2 - 7 \cdot 3)

e x p an d \frac{5 ( 27 2 - 20 )}{1058}

e x p an d \frac{4 x ^{3} - 19 x ^{2} + 28 x - 4}{( x - 2 ) ^{2}}