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}

ln (4 x^{3} y)

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(x + 3 y) (x - 3 y)

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)