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Popular >

factor e^{y-x}dx-e^x

Solution

factor

e^{y - x} d x - e^{x}

Solution

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

Solution steps

e^{y - x} d x - e^{x}

Apply exponent rule:

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

= e^{y} e^{- x} d x - e^{x}

Apply exponent rule:

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

e^{x} = e^{- x} e^{2 x}

= e^{y} e^{- x} d x - e^{- x} e^{2 x}

Factor out common term

e^{- x}

= e^{- x} (e^{y} d x - e^{2 x})

Factor

e^{y} d x - e^{2 x} : e^{y} (d x - e^{y})

= e^{y} e^{- x} (d x - e^{y})

Refine

= e^{y - x} (d x - e^{y})

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

Frequently Asked Questions (FAQ)

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