erweitern ((1-cos(h))^2)/h

Lösung

erweitern

\frac{( 1 - cos ( h ) ) ^{2}}{h}

\frac{1}{h} - \frac{2 cos ( h )}{h} + \frac{cos ^{2} ( h )}{h}

Schritte zur Lösung

\frac{( 1 - cos ( h ) ) ^{2}}{h}

(1 - cos (h))^{2} = 1 - 2 cos (h) + cos^{2} (h)

= \frac{1 - 2 cos ( h ) + cos ^{2} ( h )}{h}

Wende Bruchregel an:

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

\frac{1 - 2 cos ( h ) + cos ^{2} ( h )}{h} = \frac{1}{h} - \frac{2 cos ( h )}{h} + \frac{cos ^{2} ( h )}{h}

= \frac{1}{h} - \frac{2 cos ( h )}{h} + \frac{cos ^{2} ( h )}{h}

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

e x p an d \frac{8 z ^{2}}{( 2 z - 1 ) ( 4 z - 3 )}

e x p an d (3 x - 2) 3 \cdot e^{3}

e x p an d \frac{3 ( x + 3 )}{2 ( 3 x + 5 )}

e x p an d \frac{k p ( s + N ) + N k d s}{s + N}