展开 ((-x+6)(-3x-28))/3

解答

展开

\frac{( - x + 6 ) ( - 3 x - 28 )}{3}

x^{2} + \frac{10 x}{3} - 56

求解步骤

\frac{( - x + 6 ) ( - 3 x - 28 )}{3}

乘开

(- x + 6) (- 3 x - 28) : 3 x^{2} + 10 x - 168

= \frac{3 x ^{2} + 10 x - 168}{3}

使用分式法则:

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

\frac{3 x ^{2} + 10 x - 168}{3} = \frac{3 x ^{2}}{3} + \frac{10 x}{3} - \frac{168}{3}

= \frac{3 x ^{2}}{3} + \frac{10 x}{3} - \frac{168}{3}

数字相除:

\frac{3}{3} = 1

= x^{2} + \frac{10 x}{3} - \frac{168}{3}

数字相除:

\frac{168}{3} = 56

= x^{2} + \frac{10 x}{3} - 56

e x p an d \frac{2 s ^{4} - s ^{3} + 12 s - 12}{s ^{4} ( s - 1 )}

e x p an d e^{x} \cdot (e^{x} + e^{x} x)

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

e x p an d - \frac{54 - 26 x}{x}

e x p an d \frac{2 ( 2 x - y )}{x}