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Popular >

simplify (x^2-1)e^{-x}

Solution

simplify

(x^{2} - 1) e^{- x}

Solution

\frac{x ^{2} - 1}{e ^{x}}

Solution steps

(x^{2} - 1) e^{- x}

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

= \frac{x ^{2} - 1}{e ^{x}}

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Frequently Asked Questions (FAQ)

What is (x^2-1)e^{-x} ?
The solution to (x^2-1)e^{-x} is (x^2-1)/(e^x)