erweitern (t^2+e^t)u(t-3)

Lösung

erweitern

(t^{2} + e^{t}) \cdot u \cdot (t - 3)

t^{3} u - 3 t^{2} u + e^{t} t u - 3 e^{t} u

Schritte zur Lösung

(t^{2} + e^{t}) u (t - 3)

= u (t^{2} + e^{t}) (t - 3)

Multipliziere aus

(t^{2} + e^{t}) (t - 3) : t^{3} - 3 t^{2} + e^{t} t - 3 e^{t}

= u (t^{3} - 3 t^{2} + e^{t} t - 3 e^{t})

Multipliziere aus

u (t^{3} - 3 t^{2} + e^{t} t - 3 e^{t}) : t^{3} u - 3 t^{2} u + e^{t} t u - 3 e^{t} u

= t^{3} u - 3 t^{2} u + e^{t} t u - 3 e^{t} u

s im pl i f y (\frac{x - 6}{5} - \frac{3 x + 1}{7})^{2}

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

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

s im pl i f y (a + \frac{c - a}{6}) (1 + x^{2})

e x p an d (\frac{4}{3} - x)^{4}