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

Lösung

erweitern

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

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

Schritte zur Lösung

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

Multipliziere aus

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

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

Wende Bruchregel an:

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

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

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

Wende Regel an

\frac{a}{a} = 1

\frac{2}{2} = 1

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

e x p an d \frac{4 n}{( 2 + 2 i ) ^{2}}

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

e x p an d \frac{x ^{4}}{( x ^{2} - 1 ) ( x + 2 )}

e x p an d \frac{( x + yz ) ^{2}}{4}

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