What is expand ((4+x)(x-2))/x ?

The solution to expand ((4+x)(x-2))/x is 2+x-8/x

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expand ((4+x)(x-2))/x

expand

\frac{( 4 + x ) ( x - 2 )}{x}

2 + x - \frac{8}{x}

Solution steps

\frac{( 4 + x ) ( x - 2 )}{x}

Expand

(4 + x) (x - 2) : 2 x + x^{2} - 8

= \frac{2 x + x ^{2} - 8}{x}

Apply the fraction rule:

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

\frac{2 x + x ^{2} - 8}{x} = \frac{2 x}{x} + \frac{x ^{2}}{x} - \frac{8}{x}

= \frac{2 x}{x} + \frac{x ^{2}}{x} - \frac{8}{x}

Cancel

\frac{2 x}{x} : 2

= 2 + \frac{x ^{2}}{x} - \frac{8}{x}

Cancel

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

= 2 + x - \frac{8}{x}

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\frac{( x + 3 ) ( x - 4 )}{x + 2}

What is expand ((4+x)(x-2))/x ?
The solution to expand ((4+x)(x-2))/x is 2+x-8/x