erweitern (2x+1)/(4(x^2+x)^{5/4)}

Lösung

erweitern

\frac{2 x + 1}{4 ( x ^{2} + x ) ^{\frac{5}{4}}}

\frac{x}{2 ( x ^{2} + x ) ^{\frac{5}{4}}} + \frac{1}{4 ( x ^{2} + x ) ^{\frac{5}{4}}}

Schritte zur Lösung

\frac{2 x + 1}{4 ( x ^{2} + x ) ^{\frac{5}{4}}}

Wende Bruchregel an:

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

\frac{2 x + 1}{4 ( x ^{2} + x ) ^{\frac{5}{4}}} = \frac{2 x}{4 ( x ^{2} + x ) ^{\frac{5}{4}}} + \frac{1}{4 ( x ^{2} + x ) ^{\frac{5}{4}}}

= \frac{2 x}{4 ( x ^{2} + x ) ^{\frac{5}{4}}} + \frac{1}{4 ( x ^{2} + x ) ^{\frac{5}{4}}}

Streiche

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

= \frac{x}{2 ( x ^{2} + x ) ^{\frac{5}{4}}} + \frac{1}{4 ( x ^{2} + x ) ^{\frac{5}{4}}}

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