展开 ((2(x+2)(n^{1/4})))/((n+1)^{1/4)}

解答

展开

\frac{( 2 ( x + 2 ) ( n ^{\frac{1}{4}} ) )}{( n + 1 ) ^{\frac{1}{4}}}

\frac{2 n ^{\frac{1}{4}} x}{( n + 1 ) ^{\frac{1}{4}}} + \frac{4 n ^{\frac{1}{4}}}{( n + 1 ) ^{\frac{1}{4}}}

求解步骤

\frac{2 ( x + 2 ) ( n ^{\frac{1}{4}} )}{( n + 1 ) ^{\frac{1}{4}}}

去除括号:

(a) = a

= \frac{2 ( x + 2 ) n ^{\frac{1}{4}}}{( n + 1 ) ^{\frac{1}{4}}}

乘开

2 (x + 2) n^{\frac{1}{4}} : 2 n^{\frac{1}{4}} x + 4 n^{\frac{1}{4}}

= \frac{2 n ^{\frac{1}{4}} x + 4 n ^{\frac{1}{4}}}{( n + 1 ) ^{\frac{1}{4}}}

使用分式法则:

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

\frac{2 n ^{\frac{1}{4}} x + 4 n ^{\frac{1}{4}}}{( n + 1 ) ^{\frac{1}{4}}} = \frac{2 n ^{\frac{1}{4}} x}{( n + 1 ) ^{\frac{1}{4}}} + \frac{4 n ^{\frac{1}{4}}}{( n + 1 ) ^{\frac{1}{4}}}

= \frac{2 n ^{\frac{1}{4}} x}{( n + 1 ) ^{\frac{1}{4}}} + \frac{4 n ^{\frac{1}{4}}}{( n + 1 ) ^{\frac{1}{4}}}

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