展开-((3m-5)^2)/(2m)

解答

展开

- \frac{( 3 m - 5 ) ^{2}}{2 m}

- \frac{9 m}{2} + 15 - \frac{25}{2 m}

求解步骤

- \frac{( 3 m - 5 ) ^{2}}{2 m}

(3 m - 5)^{2} = 9 m^{2} - 30 m + 25

= - \frac{9 m ^{2} - 30 m + 25}{2 m}

使用分式法则:

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

\frac{9 m ^{2} - 30 m + 25}{2 m} = - (\frac{9 m ^{2}}{2 m}) - (- \frac{30 m}{2 m}) - (\frac{25}{2 m})

= - (\frac{9 m ^{2}}{2 m}) - (- \frac{30 m}{2 m}) - (\frac{25}{2 m})

去除括号:

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

= - \frac{9 m ^{2}}{2 m} + \frac{30 m}{2 m} - \frac{25}{2 m}

消掉

\frac{9 m ^{2}}{2 m} : \frac{9 m}{2}

= - \frac{9 m}{2} + \frac{30 m}{2 m} - \frac{25}{2 m}

消掉

\frac{30 m}{2 m} : 15

= - \frac{9 m}{2} + 15 - \frac{25}{2 m}

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