erweitern (18s-9(s^2+9))/((s^2+9)^2)

Lösung

erweitern

\frac{18 s - 9 ( s ^{2} + 9 )}{( s ^{2} + 9 ) ^{2}}

\frac{18 s - 9 s ^{2} - 81}{s ^{4} + 18 s ^{2} + 81}

Schritte zur Lösung

\frac{18 s - 9 ( s ^{2} + 9 )}{( s ^{2} + 9 ) ^{2}}

(s^{2} + 9)^{2} = s^{4} + 18 s^{2} + 81

= \frac{18 s - 9 ( s ^{2} + 9 )}{s ^{4} + 18 s ^{2} + 81}

Multipliziere aus

18 s - 9 (s^{2} + 9) : 18 s - 9 s^{2} - 81

= \frac{18 s - 9 s ^{2} - 81}{s ^{4} + 18 s ^{2} + 81}

e x p an d (n (n - 1) + m (m - 1) + nm) \cdot (n + m - 2)!

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

e x p an d \frac{5 ( 5 - j x )}{10 - j x}

e x p an d \frac{1}{( x ^{2} - 2 x - 5 ) ^{4}}

e x p an d \frac{3 x ^{2} - 5 x - 52}{( x + 2 ) ( x - 4 ) ( x + 5 )}