What is expand (3(2x-1))/(x^3) ?

The solution to expand (3(2x-1))/(x^3) is 6/(x^2)-3/(x^3)

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expand (3(2x-1))/(x^3)

expand

\frac{3 ( 2 x - 1 )}{x ^{3}}

\frac{6}{x ^{2}} - \frac{3}{x ^{3}}

Solution steps

\frac{3 ( 2 x - 1 )}{x ^{3}}

Expand

3 (2 x - 1) : 6 x - 3

= \frac{6 x - 3}{x ^{3}}

Apply the fraction rule:

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

\frac{6 x - 3}{x ^{3}} = \frac{6 x}{x ^{3}} - \frac{3}{x ^{3}}

= \frac{6 x}{x ^{3}} - \frac{3}{x ^{3}}

Cancel

\frac{6 x}{x ^{3}} : \frac{6}{x ^{2}}

= \frac{6}{x ^{2}} - \frac{3}{x ^{3}}

(e^{z} - e^{- z})^{2}

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2 (3 e^{3 y} y - e^{3 y})

\frac{p s ( s ^{2} + 7 s + 12 )}{s ^{4} + 3 s ^{3} + 8 s ^{2} + 4 s + 10}

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What is expand (3(2x-1))/(x^3) ?
The solution to expand (3(2x-1))/(x^3) is 6/(x^2)-3/(x^3)