erweitern (r(r-θ))/(θ^2)

Lösung

erweitern

\frac{r ( r - θ )}{θ ^{2}}

\frac{r ^{2}}{θ ^{2}} - \frac{r}{θ}

Schritte zur Lösung

\frac{r ( r - θ )}{θ ^{2}}

Multipliziere aus

r (r - θ) : r^{2} - r θ

= \frac{r ^{2} - r θ}{θ ^{2}}

Wende Bruchregel an:

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

\frac{r ^{2} - r θ}{θ ^{2}} = \frac{r ^{2}}{θ ^{2}} - \frac{r θ}{θ ^{2}}

= \frac{r ^{2}}{θ ^{2}} - \frac{r θ}{θ ^{2}}

Streiche

\frac{r θ}{θ ^{2}} : \frac{r}{θ}

= \frac{r ^{2}}{θ ^{2}} - \frac{r}{θ}

e x p an d \frac{( 124 x + 127 ) ( x - 1 )}{30}

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

e x p an d lo g_{b} (5 \frac{x y ^{2}}{z ^{3}})

e x p an d \frac{2 x - 4}{( x ^{2} + x ) ( x ^{2} + 1 )}

e x p an d \frac{( s + 1 ) ^{2}}{( s ^{2} + 2 ) ^{4}}