erweitern 1/((s^2+a^2)(s^2+b^2))

Lösung

erweitern

\frac{1}{( s ^{2} + a ^{2} ) ( s ^{2} + b ^{2} )}

\frac{1}{s ^{4} + b ^{2} s ^{2} + a ^{2} s ^{2} + a ^{2} b ^{2}}

Schritte zur Lösung

\frac{1}{( s ^{2} + a ^{2} ) ( s ^{2} + b ^{2} )}

Multipliziere aus

(s^{2} + a^{2}) (s^{2} + b^{2}) : s^{4} + b^{2} s^{2} + a^{2} s^{2} + a^{2} b^{2}

= \frac{1}{s ^{4} + b ^{2} s ^{2} + a ^{2} s ^{2} + a ^{2} b ^{2}}

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

s im pl i f y (a - 2) (a + 2)

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

e x p an d - \frac{4 ( - 3 s ^{2} + 12 s - 8 )}{( s ^{2} - 4 s + 8 ) ^{3}}

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