erweitern (-4x-102)/(9(17-x)^{5/3)}

Lösung

erweitern

\frac{- 4 x - 102}{9 ( 17 - x ) ^{\frac{5}{3}}}

- \frac{4 x}{9 ( 17 - x ) ^{\frac{5}{3}}} - \frac{34}{3 ( - x + 17 ) ^{\frac{5}{3}}}

Schritte zur Lösung

\frac{- 4 x - 102}{9 ( 17 - x ) ^{\frac{5}{3}}}

Wende Bruchregel an:

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

\frac{- 4 x - 102}{9 ( 17 - x ) ^{\frac{5}{3}}} = - \frac{4 x}{9 ( 17 - x ) ^{\frac{5}{3}}} - \frac{102}{9 ( 17 - x ) ^{\frac{5}{3}}}

= - \frac{4 x}{9 ( - x + 17 ) ^{\frac{5}{3}}} - \frac{102}{9 ( - x + 17 ) ^{\frac{5}{3}}}

Streiche

\frac{102}{9 ( 17 - x ) ^{\frac{5}{3}}} : \frac{34}{3 ( - x + 17 ) ^{\frac{5}{3}}}

= - \frac{4 x}{9 ( - x + 17 ) ^{\frac{5}{3}}} - \frac{34}{3 ( - x + 17 ) ^{\frac{5}{3}}}

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