化简-rP(1-P/K)(1-P/T)

解答

化简

- r P (1 - \frac{P}{K}) (1 - \frac{P}{T})

- \frac{r P ( K - P ) ( T - P )}{T K}

求解步骤

- r P (1 - \frac{P}{K}) (1 - \frac{P}{T})

合并

1 - \frac{P}{K} : \frac{K - P}{K}

= - r P \frac{K - P}{K} (1 - \frac{P}{T})

使用分式法则:

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

= - \frac{r P ( K - P ) ( 1 - \frac{P}{T} )}{K}

化简

r P (K - P) (1 - \frac{P}{T}) : \frac{r P ( K - P ) ( T - P )}{T}

= - \frac{\frac{r P ( K - P ) ( T - P )}{T}}{K}

使用分式法则:

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

\frac{\frac{r P ( K - P ) ( T - P )}{T}}{K} = \frac{r P ( K - P ) ( T - P )}{T K}

= - \frac{r P ( K - P ) ( T - P )}{T K}

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