erweitern ((2(x+2)(n^{1/4})))/((n+1)^{1/4)}

Lösung

erweitern

\frac{( 2 ( x + 2 ) ( n ^{\frac{1}{4}} ) )}{( n + 1 ) ^{\frac{1}{4}}}

\frac{2 n ^{\frac{1}{4}} x}{( n + 1 ) ^{\frac{1}{4}}} + \frac{4 n ^{\frac{1}{4}}}{( n + 1 ) ^{\frac{1}{4}}}

Schritte zur Lösung

\frac{2 ( x + 2 ) ( n ^{\frac{1}{4}} )}{( n + 1 ) ^{\frac{1}{4}}}

Entferne die Klammern:

(a) = a

= \frac{2 ( x + 2 ) n ^{\frac{1}{4}}}{( n + 1 ) ^{\frac{1}{4}}}

Multipliziere aus

2 (x + 2) n^{\frac{1}{4}} : 2 n^{\frac{1}{4}} x + 4 n^{\frac{1}{4}}

= \frac{2 n ^{\frac{1}{4}} x + 4 n ^{\frac{1}{4}}}{( n + 1 ) ^{\frac{1}{4}}}

Wende Bruchregel an:

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

\frac{2 n ^{\frac{1}{4}} x + 4 n ^{\frac{1}{4}}}{( n + 1 ) ^{\frac{1}{4}}} = \frac{2 n ^{\frac{1}{4}} x}{( n + 1 ) ^{\frac{1}{4}}} + \frac{4 n ^{\frac{1}{4}}}{( n + 1 ) ^{\frac{1}{4}}}

= \frac{2 n ^{\frac{1}{4}} x}{( n + 1 ) ^{\frac{1}{4}}} + \frac{4 n ^{\frac{1}{4}}}{( n + 1 ) ^{\frac{1}{4}}}

e x p an d \frac{Z ^{2} \cdot K}{( Z - 0.95 ) \cdot ( Z + 0.95 )}

e x p an d \frac{9 x + 6}{( x + 3 ) x ( x - 4 )}

e x p an d (3 a y + C e^{6 x})^{3}

e x p an d \frac{x y}{x ^{2}}

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