erweitern (x^2(3y-2x))/6

Lösung

erweitern

\frac{x ^{2} ( 3 y - 2 x )}{6}

\frac{x ^{2} y}{2} - \frac{x ^{3}}{3}

Schritte zur Lösung

\frac{x ^{2} ( 3 y - 2 x )}{6}

Multipliziere aus

x^{2} (3 y - 2 x) : 3 x^{2} y - 2 x^{3}

= \frac{3 x ^{2} y - 2 x ^{3}}{6}

Wende Bruchregel an:

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

\frac{3 x ^{2} y - 2 x ^{3}}{6} = \frac{3 x ^{2} y}{6} - \frac{2 x ^{3}}{6}

= \frac{3 x ^{2} y}{6} - \frac{2 x ^{3}}{6}

Streiche

\frac{3 x ^{2} y}{6} : \frac{x ^{2} y}{2}

= \frac{x ^{2} y}{2} - \frac{2 x ^{3}}{6}

Streiche

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

= \frac{x ^{2} y}{2} - \frac{x ^{3}}{3}

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

e x p an d \frac{( - 3 x + 12 )}{x ( x - 3 )}

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

e x p an d \frac{( b s + a ) ^{2}}{s ^{3}}

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