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

The solution to expand ((1-x)dx)/(x^2) is (dx}{x^2}-\frac{dx)/x

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

expand

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

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

Solution steps

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

Expand

(1 - x) d x : d x - x d x

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

Apply the fraction rule:

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

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

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

Cancel

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

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

s in g (\frac{π}{2} - x)

f (x^{2} + π)

7 t (1 + 2 t) + e^{- 2 t} cos (10 t)

(4 - 7 x + 3 x^{2})^{8}

7 (x - e^{x})

What is expand ((1-x)dx)/(x^2) ?
The solution to expand ((1-x)dx)/(x^2) is (dx}{x^2}-\frac{dx)/x