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Beliebt Rechnen >

vereinfachen (4-3x-x^2)/(x^2-1)

Lösung

vereinfachen

\frac{4 - 3 x - x ^{2}}{x ^{2} - 1}

Lösung

- \frac{x + 4}{x + 1}

Schritte zur Lösung

\frac{4 - 3 x - x ^{2}}{x ^{2} - 1}

Faktorisiere

4 - 3 x - x^{2} : - (x - 1) (x + 4)

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

Faktorisiere

x^{2} - 1 : (x + 1) (x - 1)

= \frac{- ( x - 1 ) ( x + 4 )}{( x + 1 ) ( x - 1 )}

Streiche die gemeinsamen Faktoren:

x - 1

= \frac{- ( x + 4 )}{x + 1}

Wende Bruchregel an:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{x + 4}{x + 1}

Beliebte Beispiele

\frac{d x}{d y} = 3 x

integral from 1/2 to 3 of 1/(x^2)

\int_{\frac{1}{2}}^{3} \frac{1}{x ^{2}} d x

integral from 0 to 2pi of (x^2sin(2x))

\int_{0}^{2 π} (x^{2} sin (2 x)) d x

derivative of cos(x+isin(x))

\frac{d}{d x} (cos (x) + i sin (x))

tangent y=x^3-3x+2,(2,4)

t an g e n t y = x^{3} - 3 x + 2, (2, 4)