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受欢迎的代数 >

展开-(u(16x^6-14u-7ux^2))/(2x)

解答

展开

- \frac{u ( 16 x ^{6} - 14 u - 7 u x ^{2} )}{2 x}

解答

- 8 u x^{5} + \frac{7 u ^{2}}{x} + \frac{7 u ^{2} x}{2}

求解步骤

- \frac{u ( 16 x ^{6} - 14 u - 7 u x ^{2} )}{2 x}

乘开

u (16 x^{6} - 14 u - 7 u x^{2}) : 16 u x^{6} - 14 u^{2} - 7 u^{2} x^{2}

= - \frac{- 14 u ^{2} - 7 u ^{2} x ^{2} + 16 u x ^{6}}{2 x}

使用分式法则:

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

\frac{16 u x ^{6} - 14 u ^{2} - 7 u ^{2} x ^{2}}{2 x} = - (\frac{16 u x ^{6}}{2 x}) - (- \frac{14 u ^{2}}{2 x}) - (- \frac{7 u ^{2} x ^{2}}{2 x})

= - (\frac{16 u x ^{6}}{2 x}) - (- \frac{14 u ^{2}}{2 x}) - (- \frac{7 u ^{2} x ^{2}}{2 x})

去除括号:

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

= - \frac{16 u x ^{6}}{2 x} + \frac{14 u ^{2}}{2 x} + \frac{7 u ^{2} x ^{2}}{2 x}

消掉

\frac{16 u x ^{6}}{2 x} : 8 u x^{5}

= - 8 u x^{5} + \frac{14 u ^{2}}{2 x} + \frac{7 u ^{2} x ^{2}}{2 x}

数字相除:

\frac{14}{2} = 7

= - 8 u x^{5} + \frac{7 u ^{2}}{x} + \frac{7 u ^{2} x ^{2}}{2 x}

消掉

\frac{7 u ^{2} x ^{2}}{2 x} : \frac{7 u ^{2} x}{2}

= - 8 u x^{5} + \frac{7 u ^{2}}{x} + \frac{7 u ^{2} x}{2}

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