展开 ((x-2)(x-4))/4

解答

展开

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

\frac{x ^{2}}{4} - \frac{3 x}{2} + 2

求解步骤

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

乘开

(x - 2) (x - 4) : x^{2} - 6 x + 8

= \frac{x ^{2} - 6 x + 8}{4}

使用分式法则:

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

\frac{x ^{2} - 6 x + 8}{4} = \frac{x ^{2}}{4} - \frac{6 x}{4} + \frac{8}{4}

= \frac{x ^{2}}{4} - \frac{6 x}{4} + \frac{8}{4}

消掉

\frac{6 x}{4} : \frac{3 x}{2}

= \frac{x ^{2}}{4} - \frac{3 x}{2} + \frac{8}{4}

数字相除:

\frac{8}{4} = 2

= \frac{x ^{2}}{4} - \frac{3 x}{2} + 2

e x p an d - \frac{( - x + 2 ) ^{2}}{4}

e x p an d - \frac{2 s ( - s ^{2} - 27 )}{( s ^{2} - 9 ) ^{3}}

e x p an d 2 (\frac{x ^{2}}{2} + t^{2} + t = c)

e x p an d 100 (1 - e^{- 0.07 t})

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