erweitern ((s-1)(s+1))/(2s^4)

Lösung

erweitern

\frac{( s - 1 ) ( s + 1 )}{2 s ^{4}}

\frac{1}{2 s ^{2}} - \frac{1}{2 s ^{4}}

Schritte zur Lösung

\frac{( s - 1 ) ( s + 1 )}{2 s ^{4}}

Multipliziere aus

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

= \frac{s ^{2} - 1}{2 s ^{4}}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{s ^{2} - 1}{2 s ^{4}} = \frac{s ^{2}}{2 s ^{4}} - \frac{1}{2 s ^{4}}

= \frac{s ^{2}}{2 s ^{4}} - \frac{1}{2 s ^{4}}

Streiche

\frac{s ^{2}}{2 s ^{4}} : \frac{1}{2 s ^{2}}

= \frac{1}{2 s ^{2}} - \frac{1}{2 s ^{4}}

e x p an d \frac{6 x ^{2} - x - 15}{x ( x + 1 ) ( x - 1 )}

s im pl i f y 14 (2 - 3)

e x p an d \frac{( 4 - x ) \cdot 9}{13}

e x p an d (\frac{1}{x} - x^{2})^{12}

e x p an d \frac{m ^{2} + 5 m - 6}{( 3 m + 2 ) ( m ^{2} - 4 m + 4 )}