erweitern ((50-ln(5))(375-sqrt(5)))/(140620)

Lösung

erweitern

\frac{( 50 - ln ( 5 ) ) ( 375 - 5 )}{140620}

\frac{1875}{14062} - \frac{5 5}{14062} - \frac{75 ln ( 5 )}{28124} + \frac{ln ( 5 )}{28124 5}

Dezimale

0.12827 \dots

Schritte zur Lösung

\frac{( 50 - ln ( 5 ) ) ( 375 - 5 )}{140620}

Multipliziere aus

(50 - ln (5)) (375 - 5) : 18750 - 505 - 375 ln (5) + 5 ln (5)

= \frac{18750 - 50 5 - 375 ln ( 5 ) + 5 ln ( 5 )}{140620}

Wende Bruchregel an:

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

\frac{18750 - 50 5 - 375 ln ( 5 ) + 5 ln ( 5 )}{140620} = \frac{18750}{140620} - \frac{50 5}{140620} - \frac{375 ln ( 5 )}{140620} + \frac{5 ln ( 5 )}{140620}

= \frac{18750}{140620} - \frac{50 5}{140620} - \frac{375 ln ( 5 )}{140620} + \frac{5 ln ( 5 )}{140620}

\frac{18750}{140620} = \frac{1875}{14062}

\frac{50 5}{140620} = \frac{5 5}{14062}

\frac{375 ln ( 5 )}{140620} = \frac{75 ln ( 5 )}{28124}

\frac{5 ln ( 5 )}{140620} = \frac{ln ( 5 )}{28124 5}

= \frac{1875}{14062} - \frac{5 5}{14062} - \frac{75 ln ( 5 )}{28124} + \frac{ln ( 5 )}{28124 5}

e x p an d (e^{7} - 1)^{2}

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