erweitern-((3F(ax^n+αn-α)))/((5*x^n))

Lösung

erweitern

- \frac{( 3 \cdot F \cdot ( a \cdot x ^{n} + α \cdot n - α ) )}{( 5 \cdot x ^{n} )}

- \frac{3 a F}{5} - \frac{3 α n F}{5 x ^{n}} + \frac{3 α F}{5 x ^{n}}

Schritte zur Lösung

- \frac{3 F ( a x ^{n} + α n - α )}{5 x ^{n}}

Multipliziere aus

3 F (a x^{n} + α n - α) : 3 a F x^{n} + 3 α n F - 3 α F

= - \frac{3 a F x ^{n} + 3 α n F - 3 α F}{5 x ^{n}}

Wende Bruchregel an:

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

\frac{3 a F x ^{n} + 3 α n F - 3 α F}{5 x ^{n}} = - (\frac{3 a F x ^{n}}{5 x ^{n}}) - (\frac{3 α n F}{5 x ^{n}}) - (- \frac{3 α F}{5 x ^{n}})

= - (\frac{3 a F x ^{n}}{5 x ^{n}}) - (\frac{3 α n F}{5 x ^{n}}) - (- \frac{3 α F}{5 x ^{n}})

Entferne die Klammern:

(a) = a, - (- a) = a

= - \frac{3 a F x ^{n}}{5 x ^{n}} - \frac{3 α n F}{5 x ^{n}} + \frac{3 α F}{5 x ^{n}}

Streiche

\frac{3 a F x ^{n}}{5 x ^{n}} : \frac{3 a F}{5}

= - \frac{3 a F}{5} - \frac{3 α n F}{5 x ^{n}} + \frac{3 α F}{5 x ^{n}}

e x p an d \frac{15 s}{( s ^{2} + 25 ) ^{2}}

e x p an d \frac{1}{( s - 3 ) ( s ^{2} + 9 )}

e x p an d \frac{- 15 - 2 h}{3 ( 2 + k )}

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

e x p an d \frac{( 2 \cdot π \cdot s )}{( s ^{2} + π ^{2} ) ^{2}}