erweitern (2(-x+8))/(5e^{x/(10))x^{1/5}}

Lösung

erweitern

\frac{2 ( - x + 8 )}{5 e ^{\frac{x}{10}} x ^{\frac{1}{5}}}

- \frac{2 x ^{\frac{4}{5}}}{5 e ^{\frac{x}{10}}} + \frac{16}{5 e ^{\frac{x}{10}} x ^{\frac{1}{5}}}

Schritte zur Lösung

\frac{2 ( - x + 8 )}{5 e ^{\frac{x}{10}} x ^{\frac{1}{5}}}

Multipliziere aus

2 (- x + 8) : - 2 x + 16

= \frac{- 2 x + 16}{5 e ^{\frac{x}{10}} x ^{\frac{1}{5}}}

Wende Bruchregel an:

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

\frac{- 2 x + 16}{5 e ^{\frac{x}{10}} x ^{\frac{1}{5}}} = - \frac{2 x}{5 e ^{\frac{x}{10}} x ^{\frac{1}{5}}} + \frac{16}{5 e ^{\frac{x}{10}} x ^{\frac{1}{5}}}

= - \frac{2 x}{5 e ^{\frac{x}{10}} x ^{\frac{1}{5}}} + \frac{16}{5 e ^{\frac{x}{10}} x ^{\frac{1}{5}}}

Streiche

\frac{2 x}{5 e ^{\frac{x}{10}} x ^{\frac{1}{5}}} : \frac{2 x ^{\frac{4}{5}}}{5 e ^{\frac{x}{10}}}

= - \frac{2 x ^{\frac{4}{5}}}{5 e ^{\frac{x}{10}}} + \frac{16}{5 e ^{\frac{x}{10}} x ^{\frac{1}{5}}}

s im pl i f y (r - 5)^{2}

e x p an d 2 - x (x + 2 + 3)

e x p an d \frac{d ^{2} y}{d ^{2} x} (3 x^{2} + 4 y^{2} = 9)

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

e x p an d (x + 15 - 67) (x + 15 + 67)