What is expand ((x-3)(x-2))/x ?

The solution to expand ((x-3)(x-2))/x is x-5+6/x

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expand ((x-3)(x-2))/x

expand

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

x - 5 + \frac{6}{x}

Solution steps

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

Expand

(x - 3) (x - 2) : x^{2} - 5 x + 6

= \frac{x ^{2} - 5 x + 6}{x}

Apply the fraction rule:

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

\frac{x ^{2} - 5 x + 6}{x} = \frac{x ^{2}}{x} - \frac{5 x}{x} + \frac{6}{x}

= \frac{x ^{2}}{x} - \frac{5 x}{x} + \frac{6}{x}

Cancel

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

= x - \frac{5 x}{x} + \frac{6}{x}

Cancel

\frac{5 x}{x} : 5

= x - 5 + \frac{6}{x}

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

sinh (\frac{( 2 n - 1 ) π}{2})

\frac{m ( b - 21 )}{p - 16}

(x + δ x)^{2} - 4 (x + δ x)

x^{2} (4 (x - 2)^{3})

What is expand ((x-3)(x-2))/x ?
The solution to expand ((x-3)(x-2))/x is x-5+6/x