What is factor 3e^{-x}dy+e^{3y-x}dy ?

The solution to factor 3e^{-x}dy+e^{3y-x}dy is e^{-x}dy(3+e^{3y})

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factor 3e^{-x}dy+e^{3y-x}dy

factor

3 e^{- x} d y + e^{3 y - x} d y

e^{- x} d y (3 + e^{3 y})

Solution steps

3 e^{- x} d y + e^{3 y - x} d y

Apply exponent rule:

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

= 3 e^{- x} d y + e^{3 y} e^{- x} d y

Factor out common term

d y e^{- x}

= d y e^{- x} (3 + e^{3 y})

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(9 a^{2} b^{4}) - (3 a^{2} b)

5 x + 5 z + c x + cz

36 x^{2} - 27 x^{2}

What is factor 3e^{-x}dy+e^{3y-x}dy ?
The solution to factor 3e^{-x}dy+e^{3y-x}dy is e^{-x}dy(3+e^{3y})