What is simplify-e^{-x}*xe^{-x} ?

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

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

simplify

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

- e^{- 2 x} x

Solution steps

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

Apply exponent rule:

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

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

= - x e^{- x - x}

Add similar elements:

- x - x = - 2 x

= - x e^{- 2 x}

e^{- \frac{1}{0.1}}

(x - 1)^{2} (x - 2)^{2} (x - 3)^{2}

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

\frac{( sin ( x ) ) ^{2}}{( cos ( x ) ) ^{2}}

(2)^{20}

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