erweitern-((r+θ)(r-θ))/(θ^2)

Lösung

erweitern

- \frac{( r + θ ) ( r - θ )}{θ ^{2}}

- \frac{r ^{2}}{θ ^{2}} + 1

Schritte zur Lösung

- \frac{( r + θ ) ( r - θ )}{θ ^{2}}

Multipliziere aus

(r + θ) (r - θ) : r^{2} - θ^{2}

= - \frac{r ^{2} - θ ^{2}}{θ ^{2}}

Wende Bruchregel an:

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

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

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

Entferne die Klammern:

(a) = a, - (- a) = a

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

Wende Regel an

\frac{a}{a} = 1

= - \frac{r ^{2}}{θ ^{2}} + 1

e x p an d \frac{( 3 x + 2 ) ( 9 x - 2 )}{3}

e x p an d \frac{- e ^{2 x} + 2 x + 7}{x ( x + 2 )}

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

\frac{d ^{2}}{d y ^{2}} ((x^{2}) (x - 3 y^{2})^{3})

e x p an d x (y + 2 x + \frac{π y}{2} = 170)