What is expand ((1-x)(4-x))/x ?

The solution to expand ((1-x)(4-x))/x is 4/x-5+x

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expand ((1-x)(4-x))/x

expand

\frac{( 1 - x ) ( 4 - x )}{x}

\frac{4}{x} - 5 + x

Solution steps

\frac{( 1 - x ) ( 4 - x )}{x}

Expand

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

= \frac{4 - 5 x + x ^{2}}{x}

Apply the fraction rule:

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

\frac{4 - 5 x + x ^{2}}{x} = \frac{4}{x} - \frac{5 x}{x} + \frac{x ^{2}}{x}

= \frac{4}{x} - \frac{5 x}{x} + \frac{x ^{2}}{x}

Cancel

\frac{5 x}{x} : 5

= \frac{4}{x} - 5 + \frac{x ^{2}}{x}

Cancel

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

= \frac{4}{x} - 5 + x

\frac{2 s}{( s ^{2} + 1 ) ^{2} ( s + 1 )}

e^{x} (ln (x) + \frac{1}{x})

(3 x^{2} - \frac{1}{x})^{15}

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

\frac{x + 11}{( x - 2 ) ( x + 7 )}

What is expand ((1-x)(4-x))/x ?
The solution to expand ((1-x)(4-x))/x is 4/x-5+x