How does e^-x/(1+e^-x)^2 become 1/(1+e^-x) * [1 - 1/(1+e^-x)]?

ak27

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Mar 12, 2019
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how to make e^-x/(1+e^-x)2 into 1/(1+e^-x) * [1 - 1/(1+e^-x)]?
 
Try taking it in reverse. How would you simplify [MATH]\frac{1}{1+e^{-x}} \cdot \left[1 - \frac{1}{1+e^{-x}}\right] [/MATH]?
 
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