erweitern (4n^3+15n^2+11n)/6

Lösung

erweitern

\frac{4 n ^{3} + 15 n ^{2} + 11 n}{6}

\frac{2 n ^{3}}{3} + \frac{5 n ^{2}}{2} + \frac{11 n}{6}

Schritte zur Lösung

\frac{4 n ^{3} + 15 n ^{2} + 11 n}{6}

Wende Bruchregel an:

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

\frac{4 n ^{3} + 15 n ^{2} + 11 n}{6} = \frac{4 n ^{3}}{6} + \frac{15 n ^{2}}{6} + \frac{11 n}{6}

= \frac{4 n ^{3}}{6} + \frac{15 n ^{2}}{6} + \frac{11 n}{6}

Streiche

\frac{4 n ^{3}}{6} : \frac{2 n ^{3}}{3}

= \frac{2 n ^{3}}{3} + \frac{15 n ^{2}}{6} + \frac{11 n}{6}

Streiche

\frac{15 n ^{2}}{6} : \frac{5 n ^{2}}{2}

= \frac{2 n ^{3}}{3} + \frac{5 n ^{2}}{2} + \frac{11 n}{6}

e x p an d (1 - x) y^{''} (x) + x y

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

e x p an d \frac{sec ^{2} ( x )}{( 1 + tan ( x ) ) ^{3}}

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

e x p an d \frac{8 ( 154 - 2 )}{5}