What is expand (5(x-2))/(x^2) ?

The solution to expand (5(x-2))/(x^2) is 5/x-(10)/(x^2)

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expand (5(x-2))/(x^2)

expand

\frac{5 ( x - 2 )}{x ^{2}}

\frac{5}{x} - \frac{10}{x ^{2}}

Solution steps

\frac{5 ( x - 2 )}{x ^{2}}

Expand

5 (x - 2) : 5 x - 10

= \frac{5 x - 10}{x ^{2}}

Apply the fraction rule:

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

\frac{5 x - 10}{x ^{2}} = \frac{5 x}{x ^{2}} - \frac{10}{x ^{2}}

= \frac{5 x}{x ^{2}} - \frac{10}{x ^{2}}

Cancel

\frac{5 x}{x ^{2}} : \frac{5}{x}

= \frac{5}{x} - \frac{10}{x ^{2}}

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

\frac{( x + 3 ) ( x + 2 ) ( x - 5 )}{2 x + 1}

9^{2} - 100

l (e^{x} + e^{- x}) sin (x)

(\frac{( k ( 3 k + 1 ) )}{2}) + (3 k + 1)

What is expand (5(x-2))/(x^2) ?
The solution to expand (5(x-2))/(x^2) is 5/x-(10)/(x^2)