erweitern (2500s(20s+200))/((s+1)(s^2+100s+10000))

Lösung

erweitern

\frac{2500 s ( 20 s + 200 )}{( s + 1 ) ( s ^{2} + 100 s + 10000 )}

\frac{50000 s ^{2} + 500000 s}{s ^{3} + 101 s ^{2} + 10100 s + 10000}

Schritte zur Lösung

\frac{2500 s ( 20 s + 200 )}{( s + 1 ) ( s ^{2} + 100 s + 10000 )}

Multipliziere aus

(s + 1) (s^{2} + 100 s + 10000) : s^{3} + 101 s^{2} + 10100 s + 10000

= \frac{2500 s ( 20 s + 200 )}{s ^{3} + 101 s ^{2} + 10100 s + 10000}

Multipliziere aus

2500 s (20 s + 200) : 50000 s^{2} + 500000 s

= \frac{50000 s ^{2} + 500000 s}{s ^{3} + 101 s ^{2} + 10100 s + 10000}

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

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

e x p an d - \frac{2 s ( - s ^{2} - 27 )}{( s ^{2} - 9 ) ^{3}}

e x p an d 2 (\frac{x ^{2}}{2} + t^{2} + t = c)

e x p an d 100 (1 - e^{- 0.07 t})