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Popular >

simplify e^y(-1-y)e^{-y}

Solution

simplify

e^{y} (- 1 - y) e^{- y}

Solution

- y - 1

Solution steps

e^{y} (- 1 - y) e^{- y}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{y} e^{- y} = e^{y - y}

= (- 1 - y) e^{y - y}

Add similar elements:

y - y = 0

= (- 1 - y) e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 1 \cdot (- y - 1)

Multiply:

(- 1 - y) \cdot 1 = (- 1 - y)

= (- 1 - y)

Remove parentheses:

(- a) = - a

= - 1 - y

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Frequently Asked Questions (FAQ)

What is e^y(-1-y)e^{-y} ?
The solution to e^y(-1-y)e^{-y} is -y-1