erweitern (6(1-cos(x)))/(x^2)

Lösung

erweitern

\frac{6 ( 1 - cos ( x ) )}{x ^{2}}

\frac{6}{x ^{2}} - \frac{6 cos ( x )}{x ^{2}}

Schritte zur Lösung

\frac{6 ( 1 - cos ( x ) )}{x ^{2}}

Multipliziere aus

6 (1 - cos (x)) : 6 - 6 cos (x)

= \frac{6 - 6 cos ( x )}{x ^{2}}

Wende Bruchregel an:

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

\frac{6 - 6 cos ( x )}{x ^{2}} = \frac{6}{x ^{2}} - \frac{6 cos ( x )}{x ^{2}}

= \frac{6}{x ^{2}} - \frac{6 cos ( x )}{x ^{2}}

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

e x p an d t^{3} (e^{- a t} + 1)^{2}

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

e x p an d \frac{12 x - 9 x ^{2} - 4}{2 ( 3 x + 2 )}

e x p an d \frac{5 x + 1}{( x + 1 ) ( x - 1 ) ( x + 2 )}