化简 (s+b/m)(s+r/l)

解答

化简

(s + \frac{b}{m}) (s + \frac{r}{l})

\frac{( s m + b ) ( s l + r )}{l m}

求解步骤

(s + \frac{b}{m}) (s + \frac{r}{l})

合并

s + \frac{b}{m} : \frac{s m + b}{m}

= \frac{s m + b}{m} (s + \frac{r}{l})

使用分式法则:

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

= \frac{( s m + b ) ( s + \frac{r}{l} )}{m}

化简

(s m + b) (s + \frac{r}{l}) : \frac{( s m + b ) ( s l + r )}{l}

= \frac{\frac{( s m + b ) ( s l + r )}{l}}{m}

使用分式法则:

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

= \frac{( s m + b ) ( s l + r )}{l m}

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