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Popular >

simplify (3-x)e^{-x}

Solution

simplify

(3 - x) e^{- x}

Solution

\frac{- x + 3}{e ^{x}}

Solution steps

(3 - x) e^{- x}

Apply exponent rule:

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

= \frac{1}{e ^{x}} (- x + 3)

Multiply fractions:

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

= \frac{1 \cdot ( 3 - x )}{e ^{x}}

1 \cdot (3 - x) = 3 - x

= \frac{3 - x}{e ^{x}}

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Frequently Asked Questions (FAQ)

What is (3-x)e^{-x} ?
The solution to (3-x)e^{-x} is (-x+3)/(e^x)