What is expand ((x-2)(-3x+180))/x ?

The solution to expand ((x-2)(-3x+180))/x is -3x+186-(360)/x

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expand ((x-2)(-3x+180))/x

expand

\frac{( x - 2 ) ( - 3 x + 180 )}{x}

- 3 x + 186 - \frac{360}{x}

Solution steps

\frac{( x - 2 ) ( - 3 x + 180 )}{x}

Expand

(x - 2) (- 3 x + 180) : - 3 x^{2} + 186 x - 360

= \frac{- 3 x ^{2} + 186 x - 360}{x}

Apply the fraction rule:

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

\frac{- 3 x ^{2} + 186 x - 360}{x} = - \frac{3 x ^{2}}{x} + \frac{186 x}{x} - \frac{360}{x}

= - \frac{3 x ^{2}}{x} + \frac{186 x}{x} - \frac{360}{x}

Cancel

\frac{3 x ^{2}}{x} : 3 x

= - 3 x + \frac{186 x}{x} - \frac{360}{x}

Cancel

\frac{186 x}{x} : 186

= - 3 x + 186 - \frac{360}{x}

\frac{( s + 1 )}{( s + 2 ) \cdot ( s + 4 )}

\frac{s + 5}{( s + 4 ) ( s + 1 )}

(9 x - 2 y = 1, 1) (5) (4 x - 5 y = 9) (- 2)

\frac{( S + 1.5 ) ( S - 3 )}{( S + 3 ) ( S + 2 ) ( S + 1 )}

\frac{d}{d t} ((B) (B + B t^{2}))

What is expand ((x-2)(-3x+180))/x ?
The solution to expand ((x-2)(-3x+180))/x is -3x+186-(360)/x