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

Lösung

vereinfachen

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

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

Schritte zur Lösung

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

Füge zusammen:

\frac{2}{x} + 1 : \frac{x + 2}{x}

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

Wende Bruchregel an:

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

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

Vereinfache

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

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

Wende Bruchregel an:

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

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

Vereinfache

x^{2} x : x^{3}

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

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

e x p an d (cos (θ) - 1) (sin (θ) - 1)

e x p an d (1 - \frac{2}{x})^{3}

s im pl i f y (3 x + 5) (x - 25)

s im pl i f y (1 - x^{2}) (1 - x^{2})