What is expand ((x-9)(x+4))/x ?

The solution to expand ((x-9)(x+4))/x is x-5-(36)/x

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expand ((x-9)(x+4))/x

expand

\frac{( x - 9 ) ( x + 4 )}{x}

x - 5 - \frac{36}{x}

Solution steps

\frac{( x - 9 ) ( x + 4 )}{x}

Expand

(x - 9) (x + 4) : x^{2} - 5 x - 36

= \frac{x ^{2} - 5 x - 36}{x}

Apply the fraction rule:

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

\frac{x ^{2} - 5 x - 36}{x} = \frac{x ^{2}}{x} - \frac{5 x}{x} - \frac{36}{x}

= \frac{x ^{2}}{x} - \frac{5 x}{x} - \frac{36}{x}

Cancel

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

= x - \frac{5 x}{x} - \frac{36}{x}

Cancel

\frac{5 x}{x} : 5

= x - 5 - \frac{36}{x}

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What is expand ((x-9)(x+4))/x ?
The solution to expand ((x-9)(x+4))/x is x-5-(36)/x