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

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

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expand ((x-4)dx)/(x^3)

expand

\frac{( x - 4 ) d x}{x ^{3}}

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

Solution steps

\frac{( x - 4 ) d x}{x ^{3}}

Expand

(x - 4) d x : x d x - 4 d x

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

Apply the fraction rule:

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

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

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

Cancel

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

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

y^{'} (4) (x^{3} + y^{3} = 65)

- 3 x^{2}

\frac{( 10 + r ) 30}{40 + r}

8 (y - c) y^{'} (t)

cos (3 (π + θ))

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