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

Lösung

erweitern

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

12 n + 18 + \frac{6}{n}

Schritte zur Lösung

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

Multipliziere aus

6 (n + 1) (2 n + 1) : 12 n^{2} + 18 n + 6

= \frac{12 n ^{2} + 18 n + 6}{n}

Wende Bruchregel an:

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

\frac{12 n ^{2} + 18 n + 6}{n} = \frac{12 n ^{2}}{n} + \frac{18 n}{n} + \frac{6}{n}

= \frac{12 n ^{2}}{n} + \frac{18 n}{n} + \frac{6}{n}

Streiche

\frac{12 n ^{2}}{n} : 12 n

= 12 n + \frac{18 n}{n} + \frac{6}{n}

Streiche

\frac{18 n}{n} : 18

= 12 n + 18 + \frac{6}{n}

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

e x p an d \frac{a}{b ( c + n )}

e x p an d 4 (3 e^{6} - 1)

e x p an d \frac{x ( 5 - 2 x )}{2}

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