erweitern (3(74^{2/3}-57^{2/3}))/4

Lösung

erweitern

\frac{3 ( 7 4 ^{\frac{2}{3}} - 5 7 ^{\frac{2}{3}} )}{4}

\frac{3 \cdot 3 7 ^{\frac{2}{3}}}{2 \cdot 2 ^{\frac{1}{3}}} - \frac{3 \cdot 5 7 ^{\frac{2}{3}}}{4}

Dezimale

2.11130 \dots

Schritte zur Lösung

\frac{3 ( 7 4 ^{\frac{2}{3}} - 5 7 ^{\frac{2}{3}} )}{4}

Multipliziere aus

3 (7 4^{\frac{2}{3}} - 5 7^{\frac{2}{3}}) : 3 \cdot 7 4^{\frac{2}{3}} - 3 \cdot 5 7^{\frac{2}{3}}

= \frac{3 \cdot 7 4 ^{\frac{2}{3}} - 3 \cdot 5 7 ^{\frac{2}{3}}}{4}

Wende Bruchregel an:

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

\frac{3 \cdot 7 4 ^{\frac{2}{3}} - 3 \cdot 5 7 ^{\frac{2}{3}}}{4} = \frac{3 \cdot 7 4 ^{\frac{2}{3}}}{4} - \frac{3 \cdot 5 7 ^{\frac{2}{3}}}{4}

= \frac{3 \cdot 7 4 ^{\frac{2}{3}}}{4} - \frac{3 \cdot 5 7 ^{\frac{2}{3}}}{4}

\frac{3 \cdot 7 4 ^{\frac{2}{3}}}{4} = \frac{3 \cdot 3 7 ^{\frac{2}{3}}}{2 \cdot 2 ^{\frac{1}{3}}}

= \frac{3 \cdot 3 7 ^{\frac{2}{3}}}{2 \cdot 2 ^{\frac{1}{3}}} - \frac{3 \cdot 5 7 ^{\frac{2}{3}}}{4}

e x p an d - \frac{10}{( 4 + 3 x ) ^{2}}

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

e x p an d x (2 ln (x) + 1)

e x p an d \frac{( x - a ) ( x - b ) ( x - a - d )}{( x - c ) ( x - d ) ( x - a - b )}

e x p an d (2 x) (2 x)