What is (e^{-x}-e^{-x}x)/(e^x) ?

The solution to (e^{-x}-e^{-x}x)/(e^x) is (1-x)/(e^{2x)}

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

simplify

\frac{e ^{- x} - e ^{- x} x}{e ^{x}}

\frac{1 - x}{e ^{2 x}}

Solution steps

\frac{e ^{- x} - e ^{- x} x}{e ^{x}}

Factor out common term

e^{- x}

= \frac{e ^{- x} ( 1 - x )}{e ^{x}}

Cancel

\frac{e ^{- x} ( 1 - x )}{e ^{x}} : \frac{1 - x}{e ^{2 x}}

= \frac{1 - x}{e ^{2 x}}

7 (16)

5 (x + 1) (x + 2)

5 x^{2} + 11 x - 36

12 e^{0.8}

\frac{5}{7} + \frac{6}{7}

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