What is expand (3(2xln(x)-x))/(ln^2(x)) ?

The solution to expand (3(2xln(x)-x))/(ln^2(x)) is (6x)/(ln(x))-(3x)/(ln^2(x))

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expand (3(2xln(x)-x))/(ln^2(x))

expand

\frac{3 ( 2 x ln ( x ) - x )}{ln ^{2} ( x )}

\frac{6 x}{ln ( x )} - \frac{3 x}{ln ^{2} ( x )}

Solution steps

\frac{3 ( 2 x ln ( x ) - x )}{ln ^{2} ( x )}

Expand

3 (2 x ln (x) - x) : 6 x ln (x) - 3 x

= \frac{6 x ln ( x ) - 3 x}{ln ^{2} ( x )}

Apply the fraction rule:

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

\frac{6 x ln ( x ) - 3 x}{ln ^{2} ( x )} = \frac{6 x ln ( x )}{ln ^{2} ( x )} - \frac{3 x}{ln ^{2} ( x )}

= \frac{6 x ln ( x )}{ln ^{2} ( x )} - \frac{3 x}{ln ^{2} ( x )}

Cancel

\frac{6 x ln ( x )}{ln ^{2} ( x )} : \frac{6 x}{ln ( x )}

= \frac{6 x}{ln ( x )} - \frac{3 x}{ln ^{2} ( x )}

\frac{0 , 7}{1 - 0 , 7} (1 - 0. 7^{10})

\frac{d}{d x} ((P (x)) (x (36 - x)^{2}))

\frac{2}{( x - 4 ) ( 3 + x )}

What is expand (3(2xln(x)-x))/(ln^2(x)) ?
The solution to expand (3(2xln(x)-x))/(ln^2(x)) is (6x)/(ln(x))-(3x)/(ln^2(x))