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

Lösung

erweitern

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

\frac{k ^{3}}{6} + k^{2} + \frac{11 k}{6} + 1

Schritte zur Lösung

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

Multipliziere aus

(k + 1) (k + 2) (k + 3) : k^{3} + 6 k^{2} + 11 k + 6

= \frac{k ^{3} + 6 k ^{2} + 11 k + 6}{6}

Wende Bruchregel an:

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

\frac{k ^{3} + 6 k ^{2} + 11 k + 6}{6} = \frac{k ^{3}}{6} + \frac{6 k ^{2}}{6} + \frac{11 k}{6} + \frac{6}{6}

= \frac{k ^{3}}{6} + \frac{6 k ^{2}}{6} + \frac{11 k}{6} + \frac{6}{6}

Wende Regel an

\frac{a}{a} = 1

\frac{6}{6} = 1

= \frac{k ^{3}}{6} + \frac{6 k ^{2}}{6} + \frac{11 k}{6} + 1

Teile die Zahlen:

\frac{6}{6} = 1

= \frac{k ^{3}}{6} + k^{2} + \frac{11 k}{6} + 1

s im pl i f y (p + \frac{a}{v ^{2}}) (v - b)

e x p an d cos ((5 - n) π)

e x p an d - \frac{4 x y + 8 y - 6}{( x + 2 ) ^{2}}

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

e x p an d (2 x + 3) (2 x - 3)