erweitern (2(\sqrt[3]{x}-1))/(3x^{2/3)}

Lösung

erweitern

\frac{2 ( 3 x - 1 )}{3 x ^{\frac{2}{3}}}

\frac{2}{3 x ^{\frac{1}{3}}} - \frac{2}{3 x ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{2 ( 3 x - 1 )}{3 x ^{\frac{2}{3}}}

Multipliziere aus

2 (3 x - 1) : 2 3 x - 2

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

Wende Bruchregel an:

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

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

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

Streiche

\frac{2 3 x}{3 x ^{\frac{2}{3}}} : \frac{2}{3 x ^{\frac{1}{3}}}

= \frac{2}{3 x ^{\frac{1}{3}}} - \frac{2}{3 x ^{\frac{2}{3}}}

e x p an d A (3, - 1) B (4, 3)

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

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

\frac{d}{d x} ((z (x, y)) (4 - x^{2} - y^{2}))

e x p an d - \frac{1}{( 1 - j w ) ( 3 - j w ) ^{2}}