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

Lösung

erweitern

\frac{1 - 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}}}

Schritte zur Lösung

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

Wende Bruchregel an:

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

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

e x p an d (cot (x) - 1) (3 cot (x) - 1)

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

e x p an d (- 4, - 1) u (- 1, 2)

s im pl i f y (x^{5} + \frac{3}{5}) (x^{5} + \frac{1}{10})

e x p an d lo g_{10} (3) (x + 4)