化简 \sqrt[3]{14}+(\sqrt[3]{14}(x-14))/(42)

解答

化简

314 + \frac{3 14 ( x - 14 )}{42}

\frac{x + 28}{3 3 1 4 ^{2}}

求解步骤

314 + \frac{3 14 ( x - 14 )}{42}

消掉

\frac{3 14 ( x - 14 )}{42} : \frac{x - 14}{3 \cdot 1 4 ^{\frac{2}{3}}}

= 314 + \frac{x - 14}{3 \cdot 1 4 ^{\frac{2}{3}}}

使用分式法则:

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

= \frac{3 14 \cdot 3 \cdot 1 4 ^{\frac{2}{3}} + x - 14}{3 \cdot 1 4 ^{\frac{2}{3}}}

化简

314 \cdot 3 \cdot 1 4^{\frac{2}{3}} + x - 14 : x + 28

= \frac{x + 28}{3 \cdot 1 4 ^{\frac{2}{3}}}

1 4^{\frac{2}{3}} = 3 1 4^{2}

= \frac{x + 28}{3 3 1 4 ^{2}}

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