What is expand ((x+5)(x-3))/x ?

The solution to expand ((x+5)(x-3))/x is x+2-(15)/x

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expand ((x+5)(x-3))/x

expand

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

x + 2 - \frac{15}{x}

Solution steps

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

Expand

(x + 5) (x - 3) : x^{2} + 2 x - 15

= \frac{x ^{2} + 2 x - 15}{x}

Apply the fraction rule:

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

\frac{x ^{2} + 2 x - 15}{x} = \frac{x ^{2}}{x} + \frac{2 x}{x} - \frac{15}{x}

= \frac{x ^{2}}{x} + \frac{2 x}{x} - \frac{15}{x}

Cancel

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

= x + \frac{2 x}{x} - \frac{15}{x}

Cancel

\frac{2 x}{x} : 2

= x + 2 - \frac{15}{x}

\frac{x ^{2} - 2 x}{( x + 5 ) ( x ^{2} + 16 )}

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

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

(3 + 4 x^{3}) (2 x^{2} - \frac{1}{2 x})^{12}

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

What is expand ((x+5)(x-3))/x ?
The solution to expand ((x+5)(x-3))/x is x+2-(15)/x