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

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

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

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

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

(s^{2} - 2 s + 1)^{2} = s^{4} - 4 s^{3} + 6 s^{2} - 4 s + 1

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

s im pl i f y (632 - 413)^{2}

e x p an d \frac{8 y + 6}{( 4 y - 9 ) ( y + 2 )}

e x p an d sin (x) cos (x) (- csc (x) + sec (x))

e x p an d lo g_{b} (5 \frac{x}{y})

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