What is expand (10(x^2-1))/(x^3) ?

The solution to expand (10(x^2-1))/(x^3) is (10)/x-(10)/(x^3)

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expand (10(x^2-1))/(x^3)

expand

\frac{10 ( x ^{2} - 1 )}{x ^{3}}

\frac{10}{x} - \frac{10}{x ^{3}}

Solution steps

\frac{10 ( x ^{2} - 1 )}{x ^{3}}

Expand

10 (x^{2} - 1) : 10 x^{2} - 10

= \frac{10 x ^{2} - 10}{x ^{3}}

Apply the fraction rule:

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

\frac{10 x ^{2} - 10}{x ^{3}} = \frac{10 x ^{2}}{x ^{3}} - \frac{10}{x ^{3}}

= \frac{10 x ^{2}}{x ^{3}} - \frac{10}{x ^{3}}

Cancel

\frac{10 x ^{2}}{x ^{3}} : \frac{10}{x}

= \frac{10}{x} - \frac{10}{x ^{3}}

x (1 - x)

(4 z - 3 i)^{2}

(e^{x} - 1) (e^{x} + 1)

(x - 4 i)^{2}

\frac{5}{s ( s ^{2} + s + 2 )}

What is expand (10(x^2-1))/(x^3) ?
The solution to expand (10(x^2-1))/(x^3) is (10)/x-(10)/(x^3)