What is expand (2(1-ln(x)))/(x^2) ?

The solution to expand (2(1-ln(x)))/(x^2) is 2/(x^2)-(2ln(x))/(x^2)

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

\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}}

\frac{4 π ( 20 10 - 10 5 )}{3}

\frac{( ( 3 x + 4 ) ^{3} )}{9}

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

(x - 0.3) (x - 1.3) (x - 4) (x - 6) (x - 8) (x - 10) (x - 12) (x - 14) (x - 16) (x - 18) (x - 20)

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

What is expand (2(1-ln(x)))/(x^2) ?
The solution to expand (2(1-ln(x)))/(x^2) is 2/(x^2)-(2ln(x))/(x^2)