erweitern (t^2-7t+e^t)(U(t-5))

Lösung

erweitern

(t^{2} - 7 t + e^{t}) (U (t - 5))

t^{3} U - 12 t^{2} U + 35 t U + e^{t} t U - 5 e^{t} U

Schritte zur Lösung

(t^{2} - 7 t + e^{t}) (U (t - 5))

Setze Klammern

= (U (t - 5)) t^{2} + (U (t - 5)) (- 7 t) + (U (t - 5)) e^{t}

Wende Minus-Plus Regeln an

+ (- a) = - a

= t^{2} (U (t - 5)) - 7 t (U (t - 5)) + e^{t} (U (t - 5))

Vereinfache

t^{2} (U (t - 5)) - 7 t (U (t - 5)) + e^{t} (U (t - 5)) : t^{3} U - 12 t^{2} U + 35 t U + e^{t} t U - 5 e^{t} U

= t^{3} U - 12 t^{2} U + 35 t U + e^{t} t U - 5 e^{t} U

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

e x p an d x (x^{6} + 1) d x + y^{2} (x^{4} + 1) d y

e x p an d \frac{1}{4 ( x ^{2} + x + 3 ) ^{4}}

e x p an d \frac{35}{6 d ^{2} ( 18 d ^{2} - 11 d + 1 )}

e x p an d \frac{- s - 2}{( s + 1 ) ( s + 4 )}