化简 5(5/x+5x^4)

解答

化简

5 (\frac{5}{x} + 5 x^{4})

\frac{5 ( 5 x ^{5} + 5 )}{x}

求解步骤

5 (\frac{5}{x} + 5 x^{4})

合并

\frac{5}{x} + 5 x^{4} : \frac{5 x ^{5} + 5}{x}

= 5 \cdot \frac{5 x ^{5} + 5}{x}

使用分式法则:

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

= \frac{5 ( 5 x ^{5} + 5 )}{x}

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