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Popular >

simplify e^{x-x^2}*xe^{-x}

Solution

simplify

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

Solution

e^{- x^{2}} x

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

Simplify

x - x^{2} - x : - x^{2}

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

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e^{20}

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4.67 \cdot 1 0^{- 2}

Frequently Asked Questions (FAQ)

What is e^{x-x^2}*xe^{-x} ?
The solution to e^{x-x^2}*xe^{-x} is e^{-x^2}x