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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

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

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

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

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Frequently Asked Questions (FAQ)

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