What is expand (9(x^2-3))/(x^3) ?

The solution to expand (9(x^2-3))/(x^3) is 9/x-(27)/(x^3)

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expand (9(x^2-3))/(x^3)

expand

\frac{9 ( x ^{2} - 3 )}{x ^{3}}

\frac{9}{x} - \frac{27}{x ^{3}}

Solution steps

\frac{9 ( x ^{2} - 3 )}{x ^{3}}

Expand

9 (x^{2} - 3) : 9 x^{2} - 27

= \frac{9 x ^{2} - 27}{x ^{3}}

Apply the fraction rule:

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

\frac{9 x ^{2} - 27}{x ^{3}} = \frac{9 x ^{2}}{x ^{3}} - \frac{27}{x ^{3}}

= \frac{9 x ^{2}}{x ^{3}} - \frac{27}{x ^{3}}

Cancel

\frac{9 x ^{2}}{x ^{3}} : \frac{9}{x}

= \frac{9}{x} - \frac{27}{x ^{3}}

\frac{( 8 s - 16 )}{s ( s + 1 ) ( s ^{2} + 1 )}

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(s^{2} + 2 e w s + w^{2}) (s + 10) (s + 15)

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

What is expand (9(x^2-3))/(x^3) ?
The solution to expand (9(x^2-3))/(x^3) is 9/x-(27)/(x^3)