erweitern (-2x^2-1)/((x^2+1)^{5/2)}

Lösung

erweitern

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

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

Schritte zur Lösung

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

Wende Bruchregel an:

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

\frac{- 2 x ^{2} - 1}{( x ^{2} + 1 ) ^{\frac{5}{2}}} = - \frac{2 x ^{2}}{( x ^{2} + 1 ) ^{\frac{5}{2}}} - \frac{1}{( x ^{2} + 1 ) ^{\frac{5}{2}}}

= - \frac{2 x ^{2}}{( x ^{2} + 1 ) ^{\frac{5}{2}}} - \frac{1}{( x ^{2} + 1 ) ^{\frac{5}{2}}}

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

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

e x p an d (2 x + 3 y = 1, 8) - (3 x + 2 y = 21)

e x p an d - \frac{18}{( x + 1 ) ^{4}}

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