What is factor ae^{-x}+be^{-x+4sin(x)} ?

The solution to factor ae^{-x}+be^{-x+4sin(x)} is e^{-x}(a+be^{4sin(x)})

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factor ae^{-x}+be^{-x+4sin(x)}

factor

a e^{- x} + b e^{- x + 4 s i n (x)}

e^{- x} (a + b e^{4 s i n (x)})

Solution steps

a e^{- x} + b e^{- x + 4 s i n (x)}

Apply exponent rule:

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

= a e^{- x} + b e^{- x} e^{4 s i n (x)}

Factor out common term

e^{- x}

= e^{- x} (a + b e^{4 s i n (x)})

(- 8 - 6 i)^{\frac{1}{2}}

e^{l n (y + 2)}

x a + 3 x + x^{2} + 2 a + 6 + 2 x

2 - 4 i

cos (10 x - 6 y) sin (10 x - 6 y)

What is factor ae^{-x}+be^{-x+4sin(x)} ?
The solution to factor ae^{-x}+be^{-x+4sin(x)} is e^{-x}(a+be^{4sin(x)})