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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

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

Solution steps

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

(x + ln (x))^{2} = x^{2} + 2 x ln (x) + ln^{2} (x)

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

\frac{( s + 2 )}{s ( s + 1 ) ^{2}}

d x (2 x + 2)

(- 2 e^{x}) (1 + e^{x})^{3}

\frac{( 6 - z ) ^{3}}{3}

\frac{s ^{2} + 5 s + 10}{( s + 3 ) ( s + 2 ) ( s + 1 )}

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