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Popular >

expand e^x*(1-e^x)

Solution

expand

e^{x} \cdot (1 - e^{x})

Solution

e^{x} - e^{2 x}

Solution steps

e^{x} (1 - e^{x})

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x}, b = 1, c = e^{x}

= e^{x} \cdot 1 - e^{x} e^{x}

= 1 \cdot e^{x} - e^{x} e^{x}

Simplify

1 \cdot e^{x} - e^{x} e^{x} : e^{x} - e^{2 x}

= e^{x} - e^{2 x}

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Frequently Asked Questions (FAQ)

What is expand e^x*(1-e^x) ?
The solution to expand e^x*(1-e^x) is e^x-e^{2x}