erweitern (-x+4)/(8x^{3/2)(x-2)^{3/4}}

Lösung

erweitern

\frac{- x + 4}{8 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}}

- \frac{1}{8 x ^{\frac{1}{2}} ( x - 2 ) ^{\frac{3}{4}}} + \frac{1}{2 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}}

Schritte zur Lösung

\frac{- x + 4}{8 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}}

Wende Bruchregel an:

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

\frac{- x + 4}{8 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}} = - \frac{x}{8 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}} + \frac{4}{8 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}}

= - \frac{x}{8 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}} + \frac{4}{8 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}}

Streiche

\frac{x}{8 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}} : \frac{1}{8 x ^{\frac{1}{2}} ( x - 2 ) ^{\frac{3}{4}}}

= - \frac{1}{8 x ^{\frac{1}{2}} ( x - 2 ) ^{\frac{3}{4}}} + \frac{4}{8 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}}

Streiche

\frac{4}{8 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}} : \frac{1}{2 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}}

= - \frac{1}{8 x ^{\frac{1}{2}} ( x - 2 ) ^{\frac{3}{4}}} + \frac{1}{2 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}}

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