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

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

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

expand

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

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

Solution steps

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

(x^{2} - 1)^{2} = x^{4} - 2 x^{2} + 1

= \frac{x ^{4} - 2 x ^{2} + 1}{x ^{3}}

Apply the fraction rule:

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

\frac{x ^{4} - 2 x ^{2} + 1}{x ^{3}} = \frac{x ^{4}}{x ^{3}} - \frac{2 x ^{2}}{x ^{3}} + \frac{1}{x ^{3}}

= \frac{x ^{4}}{x ^{3}} - \frac{2 x ^{2}}{x ^{3}} + \frac{1}{x ^{3}}

Cancel

\frac{x ^{4}}{x ^{3}} : x

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

Cancel

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

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

(x + y = 10,) (x - y = 6)

6 (2 x - 25 = - 18)

(e^{y} + 1)^{3}

- \frac{16 ( x + 6 )}{9 ( y - 8 )}

(a^{2}) (b^{3})

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