erweitern (40320s^2+161280+s^{10})/(s^9(s^2+4))

Lösung

erweitern

\frac{40320 s ^{2} + 161280 + s ^{10}}{s ^{9} ( s ^{2} + 4 )}

\frac{40320 s ^{2} + 161280 + s ^{10}}{s ^{11} + 4 s ^{9}}

Schritte zur Lösung

\frac{40320 s ^{2} + 161280 + s ^{10}}{s ^{9} ( s ^{2} + 4 )}

Multipliziere aus

s^{9} (s^{2} + 4) : s^{11} + 4 s^{9}

= \frac{40320 s ^{2} + 161280 + s ^{10}}{s ^{11} + 4 s ^{9}}

s im pl i f y (x - 1) (x + \frac{3}{2}) (x + 4)

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

\frac{d}{d x} ((c) (200 + \frac{50}{x} + \frac{x ^{2}}{5}))

e x p an d - \frac{1}{5} (2 x^{2} + x - 12)^{5} + C

e x p an d \frac{( 4 x ^{4} + 9 x ^{3} + 42 x ^{2} + 51 x + 36 )}{3 x ( x ^{2} + 6 ) ^{2}}