What is expand (1+e^{-2x})*e^x ?

The solution to expand (1+e^{-2x})*e^x is e^x+e^{-x}

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expand (1+e^{-2x})*e^x

expand

(1 + e^{- 2 x}) \cdot e^{x}

e^{x} + e^{- x}

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x}, b = 1, c = e^{- 2 x}

= e^{x} \cdot 1 + e^{x} e^{- 2 x}

= 1 \cdot e^{x} + e^{x} e^{- 2 x}

Simplify

1 \cdot e^{x} + e^{x} e^{- 2 x} : e^{x} + e^{- x}

= e^{x} + e^{- x}

\frac{1}{( x - 1 ) \cdot ( x - a )}

2 A - C (A = 8, - 17) (C = - 4, - 9)

2 (3 - e^{- 0.05 x})

6 (4 - π) u^{2}

3 - 2 (x + 5 (2 x + 3) = - 7 x + 8)

What is expand (1+e^{-2x})*e^x ?
The solution to expand (1+e^{-2x})*e^x is e^x+e^{-x}