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}

s im pl i f y \frac{e ^{z \cdot i}}{z ^{2} \cdot ( z - 1 )}

e x p an d cosh ((3 t - 6) U (t - 2) 3 t)

e x p an d \frac{75 ( 4 ^{24} + 4 ^{23} \cdot 72 )}{4 ^{25}}

e x p an d (a + b + c) (e + f + g) (h + i + j)

e x p an d \frac{6 - x}{x ( x - 3 )}