erweitern ((a-c^{1/g})g)/(c^{1/g)}

Lösung

erweitern

\frac{( a - c ^{\frac{1}{g}} ) g}{c ^{\frac{1}{g}}}

\frac{a g}{c ^{\frac{1}{g}}} - g

Schritte zur Lösung

\frac{( a - c ^{\frac{1}{g}} ) g}{c ^{\frac{1}{g}}}

Multipliziere aus

(a - c^{\frac{1}{g}}) g : a g - g c^{\frac{1}{g}}

= \frac{a g - g c ^{\frac{1}{g}}}{c ^{\frac{1}{g}}}

Wende Bruchregel an:

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

\frac{a g - g c ^{\frac{1}{g}}}{c ^{\frac{1}{g}}} = \frac{a g}{c ^{\frac{1}{g}}} - \frac{g c ^{\frac{1}{g}}}{c ^{\frac{1}{g}}}

= \frac{a g}{c ^{\frac{1}{g}}} - \frac{g c ^{\frac{1}{g}}}{c ^{\frac{1}{g}}}

Streiche

\frac{g c ^{\frac{1}{g}}}{c ^{\frac{1}{g}}} : g

= \frac{a g}{c ^{\frac{1}{g}}} - g

e x p an d \frac{3}{( s ^{2} + 9 ) ( s + 1 ) ( x + 5 )}

e x p an d \frac{20 x ^{2} - 60 x + 46}{( x + 1 ) ( 2 x - 5 ) ( x - 1 )}

e x p an d \frac{24 x ^{2} + 168 x + 288}{8 x + 24}

e x p an d \frac{s - 1}{( s - 2 ) \cdot ( s + 1 )}

e x p an d (x + 1) 3 x^{2} + 2 x + 5 d x