What is expand (2(x-y))/(x^2) ?

The solution to expand (2(x-y))/(x^2) is 2/x-(2y)/(x^2)

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expand (2(x-y))/(x^2)

expand

\frac{2 ( x - y )}{x ^{2}}

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

Solution steps

\frac{2 ( x - y )}{x ^{2}}

Expand

2 (x - y) : 2 x - 2 y

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

Apply the fraction rule:

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

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

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

Cancel

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

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

(x + \frac{5}{y}) \cdot (x - \frac{7}{y})

\frac{x ^{2}}{( 1 - 0.5 x ) ( 1 - 3 x ) ( 1 - x )}

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

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

16 (1 - cos^{2} (x))

What is expand (2(x-y))/(x^2) ?
The solution to expand (2(x-y))/(x^2) is 2/x-(2y)/(x^2)