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

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

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expand (1-e^x)*(x+e^x)

expand

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

x + e^{x} - e^{x} x - e^{2 x}

Solution steps

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

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

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

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

Apply minus-plus rules

+ (- a) = - a

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

Simplify

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

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

ln (x)

(1 - x^{- 1})^{2} \cdot (1 - e^{- 3 T} x^{- 1})

(((V - \frac{k \cdot c}{t \cdot s + 1}) A) F) B

e^{c o s (y)} d x + (2 y - x sin (y) e^{c o s (y)}) d y

200 (1 - 0.956 e^{- 0.18 t})

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