erweitern (9x^2+4)/(5(3x^3+4x)^{4/5)}

Lösung

erweitern

\frac{9 x ^{2} + 4}{5 ( 3 x ^{3} + 4 x ) ^{\frac{4}{5}}}

\frac{9 x ^{2}}{5 ( 3 x ^{3} + 4 x ) ^{\frac{4}{5}}} + \frac{4}{5 ( 3 x ^{3} + 4 x ) ^{\frac{4}{5}}}

Schritte zur Lösung

\frac{9 x ^{2} + 4}{5 ( 3 x ^{3} + 4 x ) ^{\frac{4}{5}}}

Wende Bruchregel an:

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

\frac{9 x ^{2} + 4}{5 ( 3 x ^{3} + 4 x ) ^{\frac{4}{5}}} = \frac{9 x ^{2}}{5 ( 3 x ^{3} + 4 x ) ^{\frac{4}{5}}} + \frac{4}{5 ( 3 x ^{3} + 4 x ) ^{\frac{4}{5}}}

= \frac{9 x ^{2}}{5 ( 3 x ^{3} + 4 x ) ^{\frac{4}{5}}} + \frac{4}{5 ( 3 x ^{3} + 4 x ) ^{\frac{4}{5}}}

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

e x p an d (\frac{63}{32})^{2}

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

e x p an d 3098.5 (x + y - 0.1)^{2}

e x p an d a - ((a + b) (a + (a + b)^{\frac{1}{2}}))^{\frac{1}{2}}