erweitern (((k+1)(2k+3)(7k+8)))/6

Lösung

erweitern

\frac{( ( k + 1 ) ( 2 k + 3 ) ( 7 k + 8 ) )}{6}

\frac{7 k ^{3}}{3} + \frac{17 k ^{2}}{2} + \frac{61 k}{6} + 4

Schritte zur Lösung

\frac{( k + 1 ) ( 2 k + 3 ) ( 7 k + 8 )}{6}

Multipliziere aus

(k + 1) (2 k + 3) (7 k + 8) : 14 k^{3} + 51 k^{2} + 61 k + 24

= \frac{14 k ^{3} + 51 k ^{2} + 61 k + 24}{6}

Wende Bruchregel an:

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

\frac{14 k ^{3} + 51 k ^{2} + 61 k + 24}{6} = \frac{14 k ^{3}}{6} + \frac{51 k ^{2}}{6} + \frac{61 k}{6} + \frac{24}{6}

= \frac{14 k ^{3}}{6} + \frac{51 k ^{2}}{6} + \frac{61 k}{6} + \frac{24}{6}

Streiche

\frac{14 k ^{3}}{6} : \frac{7 k ^{3}}{3}

= \frac{7 k ^{3}}{3} + \frac{51 k ^{2}}{6} + \frac{61 k}{6} + \frac{24}{6}

Streiche

\frac{51 k ^{2}}{6} : \frac{17 k ^{2}}{2}

= \frac{7 k ^{3}}{3} + \frac{17 k ^{2}}{2} + \frac{61 k}{6} + \frac{24}{6}

Teile die Zahlen:

\frac{24}{6} = 4

= \frac{7 k ^{3}}{3} + \frac{17 k ^{2}}{2} + \frac{61 k}{6} + 4

e x p an d \frac{( y - 2 ) ^{2}}{3}

e x p an d \frac{4}{3 π ( x + 2 ) ^{3}}

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

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

e x p an d \frac{25 ( 18 + x ^{25} )}{2}