erweitern ((18-ln(3))(81-sqrt(3)))/(6558)

Lösung

erweitern

\frac{( 18 - ln ( 3 ) ) ( 81 - 3 )}{6558}

\frac{243}{1093} - \frac{3 3}{1093} - \frac{27 ln ( 3 )}{2186} + \frac{ln ( 3 )}{2186 3}

Dezimale

0.20429 \dots

Schritte zur Lösung

\frac{( 18 - ln ( 3 ) ) ( 81 - 3 )}{6558}

Multipliziere aus

(18 - ln (3)) (81 - 3) : 1458 - 183 - 81 ln (3) + 3 ln (3)

= \frac{1458 - 18 3 - 81 ln ( 3 ) + 3 ln ( 3 )}{6558}

Wende Bruchregel an:

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

\frac{1458 - 18 3 - 81 ln ( 3 ) + 3 ln ( 3 )}{6558} = \frac{1458}{6558} - \frac{18 3}{6558} - \frac{81 ln ( 3 )}{6558} + \frac{3 ln ( 3 )}{6558}

= \frac{1458}{6558} - \frac{18 3}{6558} - \frac{81 ln ( 3 )}{6558} + \frac{3 ln ( 3 )}{6558}

\frac{1458}{6558} = \frac{243}{1093}

\frac{18 3}{6558} = \frac{3 3}{1093}

\frac{81 ln ( 3 )}{6558} = \frac{27 ln ( 3 )}{2186}

\frac{3 ln ( 3 )}{6558} = \frac{ln ( 3 )}{2186 3}

= \frac{243}{1093} - \frac{3 3}{1093} - \frac{27 ln ( 3 )}{2186} + \frac{ln ( 3 )}{2186 3}

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