展开 ((6-x)^2)/2

解答

展开

\frac{( 6 - x ) ^{2}}{2}

\frac{x ^{2}}{2} - 6 x + 18

求解步骤

\frac{( 6 - x ) ^{2}}{2}

(6 - x)^{2} = 36 - 12 x + x^{2}

= \frac{36 - 12 x + x ^{2}}{2}

使用分式法则:

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

\frac{36 - 12 x + x ^{2}}{2} = \frac{36}{2} - \frac{12 x}{2} + \frac{x ^{2}}{2}

= \frac{36}{2} - \frac{12 x}{2} + \frac{x ^{2}}{2}

数字相除:

\frac{36}{2} = 18

= 18 - \frac{12 x}{2} + \frac{x ^{2}}{2}

数字相除:

\frac{12}{2} = 6

= 18 - 6 x + \frac{x ^{2}}{2}

改写为标准形式

= \frac{x ^{2}}{2} - 6 x + 18

e x p an d \frac{1}{4 ( - 16 x + 8 )}

e x p an d (x - 1) (x + 1)

s im pl i f y (x^{2} - 4 x + 53) (x - \frac{3}{4})

e x p an d lo g_{5} (a b^{7})

e x p an d x (x + 1) (2 x - 1)