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Popular >

simplify (x^2+3x)e^{-3x}

Solution

simplify

(x^{2} + 3 x) e^{- 3 x}

Solution

\frac{x ^{2} + 3 x}{e ^{3 x}}

Solution steps

(x^{2} + 3 x) e^{- 3 x}

Apply exponent rule:

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

= \frac{1}{e ^{3 x}} (x^{2} + 3 x)

Multiply fractions:

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

= \frac{1 \cdot ( x ^{2} + 3 x )}{e ^{3 x}}

1 \cdot (x^{2} + 3 x) = x^{2} + 3 x

= \frac{x ^{2} + 3 x}{e ^{3 x}}

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Frequently Asked Questions (FAQ)

What is (x^2+3x)e^{-3x} ?
The solution to (x^2+3x)e^{-3x} is (x^2+3x)/(e^{3x)}