erweitern (2(x^6-x^2-10))/(x^5)

Lösung

erweitern

\frac{2 ( x ^{6} - x ^{2} - 10 )}{x ^{5}}

2 x - \frac{2}{x ^{3}} - \frac{20}{x ^{5}}

Schritte zur Lösung

\frac{2 ( x ^{6} - x ^{2} - 10 )}{x ^{5}}

Multipliziere aus

2 (x^{6} - x^{2} - 10) : 2 x^{6} - 2 x^{2} - 20

= \frac{2 x ^{6} - 2 x ^{2} - 20}{x ^{5}}

Wende Bruchregel an:

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

\frac{2 x ^{6} - 2 x ^{2} - 20}{x ^{5}} = \frac{2 x ^{6}}{x ^{5}} - \frac{2 x ^{2}}{x ^{5}} - \frac{20}{x ^{5}}

= \frac{2 x ^{6}}{x ^{5}} - \frac{2 x ^{2}}{x ^{5}} - \frac{20}{x ^{5}}

Streiche

\frac{2 x ^{6}}{x ^{5}} : 2 x

= 2 x - \frac{2 x ^{2}}{x ^{5}} - \frac{20}{x ^{5}}

Streiche

\frac{2 x ^{2}}{x ^{5}} : \frac{2}{x ^{3}}

= 2 x - \frac{2}{x ^{3}} - \frac{20}{x ^{5}}

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

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

e x p an d (4 x^{2} - 5 x - 3) d x

e x p an d (19, 54 - 66, 7 i) - (28.9 + 46, 7 i)

e x p an d e^{i (x + c t)}