展开 (2(1+ln(x)))/x

解答

展开

\frac{2 ( 1 + ln ( x ) )}{x}

\frac{2}{x} + \frac{2 ln ( x )}{x}

求解步骤

\frac{2 ( 1 + ln ( x ) )}{x}

乘开

2 (1 + ln (x)) : 2 + 2 ln (x)

= \frac{2 + 2 ln ( x )}{x}

使用分式法则:

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

\frac{2 + 2 ln ( x )}{x} = \frac{2}{x} + \frac{2 ln ( x )}{x}

= \frac{2}{x} + \frac{2 ln ( x )}{x}

e x p an d (\frac{- 4 α ^{2} + 4 α β}{β ^{2}})^{2}

e x p an d \frac{x ^{4} - 5 x ^{3} + 1}{( 2 - x ) ( x - 3 )}

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

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

e x p an d \frac{1}{( s + 1 ) ^{4}}