erweitern (2(x^4-1))/(x^3)

Lösung

erweitern

\frac{2 ( x ^{4} - 1 )}{x ^{3}}

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

Schritte zur Lösung

\frac{2 ( x ^{4} - 1 )}{x ^{3}}

Multipliziere aus

2 (x^{4} - 1) : 2 x^{4} - 2

= \frac{2 x ^{4} - 2}{x ^{3}}

Wende Bruchregel an:

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

\frac{2 x ^{4} - 2}{x ^{3}} = \frac{2 x ^{4}}{x ^{3}} - \frac{2}{x ^{3}}

= \frac{2 x ^{4}}{x ^{3}} - \frac{2}{x ^{3}}

Streiche

\frac{2 x ^{4}}{x ^{3}} : 2 x

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

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

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

e x p an d 2 (62 + 19) (62 - 19)

s im pl i f y x (x - 1)

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