erweitern (\frac{1+s^2)/(s^2)}{s^2+3}

Lösung

erweitern

\frac{\frac{1 + s ^{2}}{s ^{2}}}{s ^{2} + 3}

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

Schritte zur Lösung

\frac{\frac{1 + s ^{2}}{s ^{2}}}{s ^{2} + 3}

Wende Bruchregel an:

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

= \frac{1 + s ^{2}}{s ^{2} ( s ^{2} + 3 )}

Multipliziere aus

s^{2} (s^{2} + 3) : s^{4} + 3 s^{2}

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

e x p an d \frac{( x ^{3} + 7 x + 10 ) ( x + 5 )}{( x + 2 ) ( x ^{2} + 8 x + 12 )}

\frac{\partial}{\partial y} ((x) (- 2 x^{2} + y^{2}))

e x p an d \frac{e ^{z}}{( z ) ( 1 + z ) ^{3}}

e x p an d \frac{24 e ^{- 5 s}}{( s - 3 ) ( s + 3 )}

e x p an d \frac{- 9 x ^{2} + 144 x - 576}{2} + 5 x^{2} - 80 x + 320