展开 L/(2pi)-((4-L)(sqrt(3)))/(18)

解答

展开

\frac{L}{2 π} - \frac{( 4 - L ) ( 3 )}{18}

\frac{L}{2 π} - \frac{2}{3 3} + \frac{L}{6 3}

求解步骤

\frac{L}{2 π} - \frac{( 4 - L ) ( 3 )}{18}

去除括号:

(a) = a

= \frac{L}{2 π} - \frac{( 4 - L ) 3}{18}

乘开

(4 - L) 3 : 43 - 3 L

= \frac{L}{2 π} - \frac{- 3 L + 4 3}{18}

使用分式法则:

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

\frac{4 3 - 3 L}{18} = - (\frac{4 3}{18}) - (- \frac{3 L}{18})

= \frac{L}{2 π} - (\frac{4 3}{18}) - (- \frac{3 L}{18})

去除括号:

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

= \frac{L}{2 π} - \frac{4 3}{18} + \frac{3 L}{18}

\frac{4 3}{18} = \frac{2}{3 3}

\frac{3 L}{18} = \frac{L}{6 3}

= \frac{L}{2 π} - \frac{2}{3 3} + \frac{L}{6 3}

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