erweitern ((ln(50)-5)^2)/8

Lösung

erweitern

\frac{( ln ( 50 ) - 5 ) ^{2}}{8}

\frac{ln ^{2} ( 50 )}{8} - \frac{5 ln ( 50 )}{4} + \frac{25}{8}

Dezimale

0.14796 \dots

Schritte zur Lösung

\frac{( ln ( 50 ) - 5 ) ^{2}}{8}

(ln (50) - 5)^{2} = ln^{2} (50) - 10 ln (50) + 25

= \frac{ln ^{2} ( 50 ) - 10 ln ( 50 ) + 25}{8}

Wende Bruchregel an:

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

\frac{ln ^{2} ( 50 ) - 10 ln ( 50 ) + 25}{8} = \frac{ln ^{2} ( 50 )}{8} - \frac{10 ln ( 50 )}{8} + \frac{25}{8}

= \frac{ln ^{2} ( 50 )}{8} - \frac{10 ln ( 50 )}{8} + \frac{25}{8}

Streiche

\frac{10 ln ( 50 )}{8} : \frac{5 ln ( 50 )}{4}

= \frac{ln ^{2} ( 50 )}{8} - \frac{5 ln ( 50 )}{4} + \frac{25}{8}

e x p an d (s^{2} + 2 e w s + w^{2}) (s + 10) (s + 15)

s im pl i f y (- 1 - x) (- \frac{3}{2} - x)

e x p an d 2 t^{2} e^{k t} (2 e^{k t} - y)

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

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