erweitern ((x+1)(x-2))/(10)

Lösung

erweitern

\frac{( x + 1 ) ( x - 2 )}{10}

\frac{x ^{2}}{10} - \frac{x}{10} - \frac{1}{5}

Schritte zur Lösung

\frac{( x + 1 ) ( x - 2 )}{10}

Multipliziere aus

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

= \frac{x ^{2} - x - 2}{10}

Wende Bruchregel an:

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

\frac{x ^{2} - x - 2}{10} = \frac{x ^{2}}{10} - \frac{x}{10} - \frac{2}{10}

= \frac{x ^{2}}{10} - \frac{x}{10} - \frac{2}{10}

Streiche

\frac{2}{10} : \frac{1}{5}

= \frac{x ^{2}}{10} - \frac{x}{10} - \frac{1}{5}

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

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

e x p an d C (- 2, - 3)

e x p an d \frac{x ^{2} + 3 ( x + 1 )}{7 x ( x + 1 )}

e x p an d (a^{2})^{3}