展开 ((x+8))/((4-3x)^{1/2)}

解答

展开

\frac{( x + 8 )}{( 4 - 3 x ) ^{\frac{1}{2}}}

\frac{x}{( 4 - 3 x ) ^{\frac{1}{2}}} + \frac{8}{( 4 - 3 x ) ^{\frac{1}{2}}}

求解步骤

\frac{x + 8}{( 4 - 3 x ) ^{\frac{1}{2}}}

使用分式法则:

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

\frac{x + 8}{( 4 - 3 x ) ^{\frac{1}{2}}} = \frac{x}{( 4 - 3 x ) ^{\frac{1}{2}}} + \frac{8}{( 4 - 3 x ) ^{\frac{1}{2}}}

= \frac{x}{( - 3 x + 4 ) ^{\frac{1}{2}}} + \frac{8}{( - 3 x + 4 ) ^{\frac{1}{2}}}

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