erweitern (1+s^2)/(s^2(s-3)^2)

Lösung

erweitern

\frac{1 + s ^{2}}{s ^{2} ( s - 3 ) ^{2}}

\frac{1 + s ^{2}}{s ^{4} - 6 s ^{3} + 9 s ^{2}}

Schritte zur Lösung

\frac{1 + s ^{2}}{s ^{2} ( s - 3 ) ^{2}}

(s - 3)^{2} = s^{2} - 6 s + 9

= \frac{1 + s ^{2}}{s ^{2} ( s ^{2} - 6 s + 9 )}

Multipliziere aus

s^{2} (s^{2} - 6 s + 9) : s^{4} - 6 s^{3} + 9 s^{2}

= \frac{1 + s ^{2}}{s ^{4} - 6 s ^{3} + 9 s ^{2}}

e x p an d f^{'} (x) (x + 4)^{2} (x - 3)

e x p an d 3 x - 5 (x^{2} + 6 x + 5) (x - 3)^{5}

e x p an d 5 (2 + 1)

e x p an d \frac{( a + b ) x + ( a - b ) ∣ x ∣}{2 x}

s im pl i f y \frac{1}{2} (- \frac{1}{4} cos (4 θ) - \frac{1}{2} cos (2 θ))