展开-((-x+2)^2)/4

解答

展开

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

- \frac{x ^{2}}{4} + x - 1

求解步骤

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

(- x + 2)^{2} = x^{2} - 4 x + 4

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

使用分式法则:

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

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

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

去除括号:

(a) = a, - (- a) = a

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

数字相除:

\frac{4}{4} = 1

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

使用法则

\frac{a}{a} = 1

= - \frac{x ^{2}}{4} + x - 1

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 )}

e x p an d (m^{2} + n^{3})^{2} - 4 m^{2} y^{3}