展开 ((x-2)(-3x+180))/x

解答

展开

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

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

求解步骤

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

乘开

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

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

使用分式法则:

\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}

消掉

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

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

消掉

\frac{186 x}{x} : 186

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

e x p an d \frac{( s + 1 )}{( s + 2 ) \cdot ( s + 4 )}

e x p an d \frac{s + 5}{( s + 4 ) ( s + 1 )}

e x p an d (9 x - 2 y = 1, 1) (5) (4 x - 5 y = 9) (- 2)

e x p an d \frac{( S + 1.5 ) ( S - 3 )}{( S + 3 ) ( S + 2 ) ( S + 1 )}

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