erweitern (s^2+2ews+w^2)(s+10)(s+15)

Lösung

erweitern

(s^{2} + 2 e w s + w^{2}) (s + 10) (s + 15)

s^{4} + 25 s^{3} + 150 s^{2} + 2 e s^{3} w + 50 e s^{2} w + 300 es w + s^{2} w^{2} + 25 s w^{2} + 150 w^{2}

Schritte zur Lösung

(s^{2} + 2 e w s + w^{2}) (s + 10) (s + 15)

= (s^{2} + 2 es w + w^{2}) (s + 10) (s + 15)

Multipliziere aus

(s^{2} + 2 e w s + w^{2}) (s + 10) : s^{3} + 10 s^{2} + 2 e s^{2} w + 20 es w + s w^{2} + 10 w^{2}

= (s^{3} + 10 s^{2} + 2 e s^{2} w + 20 es w + s w^{2} + 10 w^{2}) (s + 15)

Multipliziere aus

(s^{3} + 10 s^{2} + 2 e s^{2} w + 20 es w + s w^{2} + 10 w^{2}) (s + 15) : s^{4} + 25 s^{3} + 150 s^{2} + 2 e s^{3} w + 50 e s^{2} w + 300 es w + s^{2} w^{2} + 25 s w^{2} + 150 w^{2}

= s^{4} + 25 s^{3} + 150 s^{2} + 2 e s^{3} w + 50 e s^{2} w + 300 es w + s^{2} w^{2} + 25 s w^{2} + 150 w^{2}

s im pl i f y (- 1 - x) (- \frac{3}{2} - x)

e x p an d 2 t^{2} e^{k t} (2 e^{k t} - y)

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

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

\frac{d ^{4}}{d x ^{4}} ((y) (cos (x) + 2))