What is expand (2(x^4-1))/(x^3) ?

The solution to expand (2(x^4-1))/(x^3) is 2x-2/(x^3)

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expand (2(x^4-1))/(x^3)

expand

\frac{2 ( x ^{4} - 1 )}{x ^{3}}

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

Solution steps

\frac{2 ( x ^{4} - 1 )}{x ^{3}}

Expand

2 (x^{4} - 1) : 2 x^{4} - 2

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

Apply the fraction rule:

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

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

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

Cancel

\frac{2 x ^{4}}{x ^{3}} : 2 x

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

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

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

2 (62 + 19) (62 - 19)

x (x - 1)

3 x^{2} + 6 x y + (3 x^{2} + 2 y) \frac{d y}{d x}

What is expand (2(x^4-1))/(x^3) ?
The solution to expand (2(x^4-1))/(x^3) is 2x-2/(x^3)