erweitern ((k+1)(2k^2+7k+6))/6

Lösung

erweitern

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

\frac{k ^{3}}{3} + \frac{3 k ^{2}}{2} + \frac{13 k}{6} + 1

Schritte zur Lösung

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

Multipliziere aus

(k + 1) (2 k^{2} + 7 k + 6) : 2 k^{3} + 9 k^{2} + 13 k + 6

= \frac{2 k ^{3} + 9 k ^{2} + 13 k + 6}{6}

Wende Bruchregel an:

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

\frac{2 k ^{3} + 9 k ^{2} + 13 k + 6}{6} = \frac{2 k ^{3}}{6} + \frac{9 k ^{2}}{6} + \frac{13 k}{6} + \frac{6}{6}

= \frac{2 k ^{3}}{6} + \frac{9 k ^{2}}{6} + \frac{13 k}{6} + \frac{6}{6}

Wende Regel an

\frac{a}{a} = 1

\frac{6}{6} = 1

= \frac{2 k ^{3}}{6} + \frac{9 k ^{2}}{6} + \frac{13 k}{6} + 1

Streiche

\frac{2 k ^{3}}{6} : \frac{k ^{3}}{3}

= \frac{k ^{3}}{3} + \frac{9 k ^{2}}{6} + \frac{13 k}{6} + 1

Streiche

\frac{9 k ^{2}}{6} : \frac{3 k ^{2}}{2}

= \frac{k ^{3}}{3} + \frac{3 k ^{2}}{2} + \frac{13 k}{6} + 1

e x p an d \frac{( 7 + 43 i ) ^{5}}{11881376}

e x p an d (y^{2} + 3 y + 2)^{5}

e x p an d (100 sin (π t) - 50)^{2} (0.1)

e x p an d \frac{4}{( s - 1 ) ^{2} ( s - 3 ) ( s + 1 )}

e x p an d sin (2 x) + 4 (cos (x) - 4 sin (x) = 4)