What is expand (4ln(2))/(x(4+ln(x))^2) ?

The solution to expand (4ln(2))/(x(4+ln(x))^2) is (4ln(2))/(16x+8xln(x)+xln^2(x))

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expand (4ln(2))/(x(4+ln(x))^2)

expand

\frac{4 ln ( 2 )}{x ( 4 + ln ( x ) ) ^{2}}

\frac{4 ln ( 2 )}{16 x + 8 x ln ( x ) + x ln ^{2} ( x )}

Solution steps

\frac{4 ln ( 2 )}{x ( 4 + ln ( x ) ) ^{2}}

(4 + ln (x))^{2} = 16 + 8 ln (x) + ln^{2} (x)

= \frac{4 ln ( 2 )}{x ( ln ^{2} ( x ) + 8 ln ( x ) + 16 )}

Expand

x (16 + 8 ln (x) + ln^{2} (x)) : 16 x + 8 x ln (x) + x ln^{2} (x)

= \frac{4 ln ( 2 )}{16 x + 8 x ln ( x ) + x ln ^{2} ( x )}

x (3^{x} (ln (x)) - 36)

\frac{2 e ( 2 s + 4 )}{( s ^{2} + 4 s + 8 ) ^{2}}

32 (2 - 2)

{8 δ (x - 1)} (y)

112 (\frac{x ^{2}}{36} + \frac{y ^{2}}{27} = 1)

What is expand (4ln(2))/(x(4+ln(x))^2) ?
The solution to expand (4ln(2))/(x(4+ln(x))^2) is (4ln(2))/(16x+8xln(x)+xln^2(x))