展开 (5(2v-u^2))/(u^3v^3)

解答

展开

\frac{5 ( 2 v - u ^{2} )}{u ^{3} v ^{3}}

\frac{10}{v ^{2} u ^{3}} - \frac{5}{v ^{3} u}

求解步骤

\frac{5 ( 2 v - u ^{2} )}{u ^{3} v ^{3}}

乘开

5 (2 v - u^{2}) : 10 v - 5 u^{2}

= \frac{10 v - 5 u ^{2}}{v ^{3} u ^{3}}

使用分式法则:

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

\frac{10 v - 5 u ^{2}}{u ^{3} v ^{3}} = \frac{10 v}{u ^{3} v ^{3}} - \frac{5 u ^{2}}{u ^{3} v ^{3}}

= \frac{10 v}{v ^{3} u ^{3}} - \frac{5 u ^{2}}{v ^{3} u ^{3}}

消掉

\frac{10 v}{u ^{3} v ^{3}} : \frac{10}{v ^{2} u ^{3}}

= \frac{10}{v ^{2} u ^{3}} - \frac{5 u ^{2}}{v ^{3} u ^{3}}

消掉

\frac{5 u ^{2}}{u ^{3} v ^{3}} : \frac{5}{v ^{3} u}

= \frac{10}{v ^{2} u ^{3}} - \frac{5}{v ^{3} u}

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