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

Lösung

erweitern

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

\frac{n ^{2}}{6} - \frac{n}{2} + \frac{1}{3}

Schritte zur Lösung

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

Multipliziere aus

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

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

Wende Bruchregel an:

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

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

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

Streiche

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

= \frac{n ^{2}}{6} - \frac{n}{2} + \frac{2}{6}

Streiche

\frac{2}{6} : \frac{1}{3}

= \frac{n ^{2}}{6} - \frac{n}{2} + \frac{1}{3}

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e x p an d 7 pp