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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot x = x

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

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Frequently Asked Questions (FAQ)

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