erweitern (x(x-1)(x-2))/6

Lösung

erweitern

\frac{x \cdot ( x - 1 ) \cdot ( x - 2 )}{6}

\frac{x ^{3}}{6} - \frac{x ^{2}}{2} + \frac{x}{3}

Schritte zur Lösung

\frac{x ( x - 1 ) ( x - 2 )}{6}

Multipliziere aus

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

= \frac{x ^{3} - 3 x ^{2} + 2 x}{6}

Wende Bruchregel an:

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

\frac{x ^{3} - 3 x ^{2} + 2 x}{6} = \frac{x ^{3}}{6} - \frac{3 x ^{2}}{6} + \frac{2 x}{6}

= \frac{x ^{3}}{6} - \frac{3 x ^{2}}{6} + \frac{2 x}{6}

Streiche

\frac{3 x ^{2}}{6} : \frac{x ^{2}}{2}

= \frac{x ^{3}}{6} - \frac{x ^{2}}{2} + \frac{2 x}{6}

Streiche

\frac{2 x}{6} : \frac{x}{3}

= \frac{x ^{3}}{6} - \frac{x ^{2}}{2} + \frac{x}{3}

e x p an d (2 \cdot (- 3) y = - 1,) (k x + (k - 1) y - 2 (k + 2) = 0,)

e x p an d \frac{5 x ^{2} - 26 x + 21}{( - x + 5 ) ( - x + 3 )}

e x p an d (ln (x) - 1)^{2}

e x p an d (x y - 4 x) d x - (x^{2} y + y) d y

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