erweitern ((x+8))/((4-3x)^{1/2)}

Lösung

erweitern

\frac{( x + 8 )}{( 4 - 3 x ) ^{\frac{1}{2}}}

\frac{x}{( 4 - 3 x ) ^{\frac{1}{2}}} + \frac{8}{( 4 - 3 x ) ^{\frac{1}{2}}}

Schritte zur Lösung

\frac{x + 8}{( 4 - 3 x ) ^{\frac{1}{2}}}

Wende Bruchregel an:

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

\frac{x + 8}{( 4 - 3 x ) ^{\frac{1}{2}}} = \frac{x}{( 4 - 3 x ) ^{\frac{1}{2}}} + \frac{8}{( 4 - 3 x ) ^{\frac{1}{2}}}

= \frac{x}{( - 3 x + 4 ) ^{\frac{1}{2}}} + \frac{8}{( - 3 x + 4 ) ^{\frac{1}{2}}}

e x p an d (x + 1)^{4} y^{''} (x) + 2 (x + 1)^{3} y^{'} (x)

e x p an d e^{x yz} - e^{x y (z - 1)}

e x p an d \frac{12 ( s + 5 )}{( s + 1 ) ^{2} ( s + 6 ) ( s ^{2} + 4 s + 5 )}

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

e x p an d \frac{3}{20} \cdot (16 πh - π h^{2})