erweitern (3x+1)/((x^2+1)^{3/2)}

Lösung

erweitern

\frac{3 x + 1}{( x ^{2} + 1 ) ^{\frac{3}{2}}}

\frac{3 x}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + \frac{1}{( x ^{2} + 1 ) ^{\frac{3}{2}}}

Schritte zur Lösung

\frac{3 x + 1}{( x ^{2} + 1 ) ^{\frac{3}{2}}}

Wende Bruchregel an:

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

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

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

e x p an d (\frac{3}{4} e^{t} + \frac{1}{4})^{10}

e x p an d (\frac{( x + 1 )}{2 x})^{9}

e x p an d P (1, - 4) y

e x p an d - \frac{4}{( s + 1 ) ( s + 2 ) ( s - 1 )}

e x p an d \frac{- 4 x ^{3} - 10 x ^{2} - 4 x + 2}{( x ^{2} + 1 ) ^{4}}