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Popular >

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

Solution

simplify

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

Solution

\frac{- y + e ^{x + y}}{e ^{x}}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

1 \cdot (e^{x + y} - y) = e^{x + y} - y

= \frac{e ^{x + y} - y}{e ^{x}}

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Frequently Asked Questions (FAQ)

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