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

Lösung

erweitern

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

\frac{2 s + 2}{s ^{5} - 3 s ^{4} + 4 s ^{3} - 4 s ^{2} + 3 s - 1}

Schritte zur Lösung

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

(s - 1)^{3} = s^{3} - 3 s^{2} + 3 s - 1

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

Multipliziere aus

(s^{2} + 1) (s^{3} - 3 s^{2} + 3 s - 1) : s^{5} - 3 s^{4} + 4 s^{3} - 4 s^{2} + 3 s - 1

= \frac{2 s + 2}{s ^{5} - 3 s ^{4} + 4 s ^{3} - 4 s ^{2} + 3 s - 1}

f (t) = [(cos (t))^{2} (1 + e^{2 t})^{3}]

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

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

e x p an d \frac{3 x + 25}{20 ( x - 2 )}

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