erweitern (-10(x+3)^{3/2}+2(x+3)^{5/2})/5

Lösung

erweitern

\frac{- 10 ( x + 3 ) ^{\frac{3}{2}} + 2 ( x + 3 ) ^{\frac{5}{2}}}{5}

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

Schritte zur Lösung

\frac{- 10 ( x + 3 ) ^{\frac{3}{2}} + 2 ( x + 3 ) ^{\frac{5}{2}}}{5}

Wende Bruchregel an:

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

\frac{- 10 ( x + 3 ) ^{\frac{3}{2}} + 2 ( x + 3 ) ^{\frac{5}{2}}}{5} = - \frac{10 ( x + 3 ) ^{\frac{3}{2}}}{5} + \frac{2 ( x + 3 ) ^{\frac{5}{2}}}{5}

= - \frac{10 ( x + 3 ) ^{\frac{3}{2}}}{5} + \frac{2 ( x + 3 ) ^{\frac{5}{2}}}{5}

Teile die Zahlen:

\frac{10}{5} = 2

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

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

e x p an d \frac{500 k}{( s ^{2} + 25 s + 100 k ) ( s ^{2} + 1 )}

e x p an d 7 (5 + 11)

e x p an d - \frac{4 x}{5 ( x ^{2} + y )}

e x p an d sin (x) (cos (x) + cos (x) sin (x))