erweitern (2(s^2-5))/((s^2+1)(s^2+25))

Lösung

erweitern

\frac{2 ( s ^{2} - 5 )}{( s ^{2} + 1 ) ( s ^{2} + 25 )}

\frac{2 s ^{2} - 10}{s ^{4} + 26 s ^{2} + 25}

Schritte zur Lösung

\frac{2 ( s ^{2} - 5 )}{( s ^{2} + 1 ) ( s ^{2} + 25 )}

Multipliziere aus

(s^{2} + 1) (s^{2} + 25) : s^{4} + 26 s^{2} + 25

= \frac{2 ( s ^{2} - 5 )}{s ^{4} + 26 s ^{2} + 25}

Multipliziere aus

2 (s^{2} - 5) : 2 s^{2} - 10

= \frac{2 s ^{2} - 10}{s ^{4} + 26 s ^{2} + 25}

e x p an d \frac{t ^{3} e ^{2 t}}{( s - 2 ) ^{2}}

e x p an d \frac{3}{( s - 10 ) ( s + 10 ) + a}

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

e x p an d (x \circ x - 6) (x)

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