erweitern ((a+b)^{2/3}-b^{2/3})/a

Lösung

erweitern

\frac{( a + b ) ^{\frac{2}{3}} - b ^{\frac{2}{3}}}{a}

\frac{( a + b ) ^{\frac{2}{3}}}{a} - \frac{b ^{\frac{2}{3}}}{a}

Schritte zur Lösung

\frac{( a + b ) ^{\frac{2}{3}} - b ^{\frac{2}{3}}}{a}

Wende Bruchregel an:

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

\frac{( a + b ) ^{\frac{2}{3}} - b ^{\frac{2}{3}}}{a} = \frac{( a + b ) ^{\frac{2}{3}}}{a} - \frac{b ^{\frac{2}{3}}}{a}

= \frac{( a + b ) ^{\frac{2}{3}}}{a} - \frac{b ^{\frac{2}{3}}}{a}

e x p an d \frac{5 x ^{3} + x + 2}{( x + 1 ) ( x ^{2} + 1 )}

e x p an d (\frac{1}{2} x - 5)^{2}

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

s im pl i f y (32 + 23) 2

s im pl i f y - \frac{3 ( 2 x + 3 3 )}{12} + \frac{3}{2}