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Popular >

simplify e^{-x}(2x-x^2)

Solution

simplify

e^{- x} (2 x - x^{2})

Solution

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

Solution steps

e^{- x} (2 x - x^{2})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

1 \cdot (2 x - x^{2}) = 2 x - x^{2}

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

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Frequently Asked Questions (FAQ)

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