What is factor yxe^{-2y}-yxe^{-y} ?

The solution to factor yxe^{-2y}-yxe^{-y} is e^{-2y}yx(1-e^y)

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factor yxe^{-2y}-yxe^{-y}

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Factor out common term

x y e^{- 2 y}

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

y^{5} + m^{5} b^{5}

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10 x^{49} + 6.25 x^{168.7} - 5 x^{16}

What is factor yxe^{-2y}-yxe^{-y} ?
The solution to factor yxe^{-2y}-yxe^{-y} is e^{-2y}yx(1-e^y)