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

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

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

expand

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

\frac{1}{x} - \frac{1}{x ^{3}}

Solution steps

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

Expand

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

= \frac{x ^{2} - 1}{x ^{3}}

Apply the fraction rule:

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

\frac{x ^{2} - 1}{x ^{3}} = \frac{x ^{2}}{x ^{3}} - \frac{1}{x ^{3}}

= \frac{x ^{2}}{x ^{3}} - \frac{1}{x ^{3}}

Cancel

\frac{x ^{2}}{x ^{3}} : \frac{1}{x}

= \frac{1}{x} - \frac{1}{x ^{3}}

(e^{x} \cdot x - e^{x}) (2 x - 1)

T (5, - 15)

4 x (c (x - c)^{2})

F (cos (3 0^{\circ}) - 0.25 N = 0)

- 2 er (- 5 e + 4 r + 5 er)

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