What is expand-(2(-2ln(x)+3))/(11x^3) ?

The solution to expand-(2(-2ln(x)+3))/(11x^3) is (4ln(x))/(11x^3)-6/(11x^3)

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expand-(2(-2ln(x)+3))/(11x^3)

expand

- \frac{2 ( - 2 ln ( x ) + 3 )}{11 x ^{3}}

\frac{4 ln ( x )}{11 x ^{3}} - \frac{6}{11 x ^{3}}

Solution steps

- \frac{2 ( - 2 ln ( x ) + 3 )}{11 x ^{3}}

Expand

2 (- 2 ln (x) + 3) : - 4 ln (x) + 6

= - \frac{- 4 ln ( x ) + 6}{11 x ^{3}}

Apply the fraction rule:

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

\frac{- 4 ln ( x ) + 6}{11 x ^{3}} = - (- \frac{4 ln ( x )}{11 x ^{3}}) - (\frac{6}{11 x ^{3}})

= - (- \frac{4 ln ( x )}{11 x ^{3}}) - (\frac{6}{11 x ^{3}})

Remove parentheses:

(a) = a, - (- a) = a

= \frac{4 ln ( x )}{11 x ^{3}} - \frac{6}{11 x ^{3}}

\frac{6 x ^{2} - 4}{( x ^{2} + 3 ) ( x + 6 ) ( x + 5 )}

(7 sin (5 x) + 3 cos (7 x)) d x

C (2 n - 1, n - 1)

\frac{( x + 1 ) !}{x ( x - 2 )}

d x (x^{2} + x + \frac{x ^{3}}{3} - 21)

What is expand-(2(-2ln(x)+3))/(11x^3) ?
The solution to expand-(2(-2ln(x)+3))/(11x^3) is (4ln(x))/(11x^3)-6/(11x^3)