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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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