erweitern 1/((s+8)(s^2-2s+2))

Lösung

erweitern

\frac{1}{( s + 8 ) ( s ^{2} - 2 s + 2 )}

\frac{1}{s ^{3} + 6 s ^{2} - 14 s + 16}

Schritte zur Lösung

\frac{1}{( s + 8 ) ( s ^{2} - 2 s + 2 )}

Multipliziere aus

(s + 8) (s^{2} - 2 s + 2) : s^{3} + 6 s^{2} - 14 s + 16

= \frac{1}{s ^{3} + 6 s ^{2} - 14 s + 16}

e x p an d \frac{4 x ^{2} - 2 x + 1}{( x + 3 ) ^{3} ( x ^{2} - 7 ) ^{2}}

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

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

e x p an d 6 e^{x} - 3 (e^{x} x^{2} + 2 x e^{x})

e x p an d (0.5 e^{x} + 0.5) (0.5 e^{- x} + 0.5)