erweitern (2(1-ln(x)))/(x^2)

Lösung

erweitern

\frac{2 ( 1 - ln ( x ) )}{x ^{2}}

\frac{2}{x ^{2}} - \frac{2 ln ( x )}{x ^{2}}

Schritte zur Lösung

\frac{2 ( 1 - ln ( x ) )}{x ^{2}}

Multipliziere aus

2 (1 - ln (x)) : 2 - 2 ln (x)

= \frac{2 - 2 ln ( x )}{x ^{2}}

Wende Bruchregel an:

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

\frac{2 - 2 ln ( x )}{x ^{2}} = \frac{2}{x ^{2}} - \frac{2 ln ( x )}{x ^{2}}

= \frac{2}{x ^{2}} - \frac{2 ln ( x )}{x ^{2}}

e x p an d \frac{4 π ( 20 10 - 10 5 )}{3}

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

e x p an d \frac{( 8 x ^{4} + 3 x ^{2} ) ( 3 x ^{2} - 7 x )}{6 x - 3}

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

e x p an d \frac{35}{( t + 7 ) ( t + h + 7 )}