What is simplify-rP(1-P/k)(1-P/T) ?

The solution to simplify-rP(1-P/k)(1-P/T) is -(rP(k-P)(T-P))/(Tk)

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simplify-rP(1-P/k)(1-P/T)

simplify

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

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

Solution steps

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

Join

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

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

Apply the fraction rule:

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

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

Simplify

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}

Apply the fraction rule:

\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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What is simplify-rP(1-P/k)(1-P/T) ?
The solution to simplify-rP(1-P/k)(1-P/T) is -(rP(k-P)(T-P))/(Tk)