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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Cancel

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

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

(4 a^{2} ma s^{2} ab, 5 b) ma s (6 a^{2} - 7 ab)

(v + Δ v)^{3}

\frac{6 x ^{2} - 3 x + 36}{x ( x ^{2} + 9 )}

(x^{3} - \frac{2}{x ^{2}})^{10}

- 4 (x + \frac{1}{e ^{x}} - \frac{1}{2 e ^{2 x}} - ln ∣ e^{x} + 1 ∣)

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