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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Multiply:

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

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

\frac{x - 3}{x ^{2} ( x - 2 )}

(x - \frac{π}{2}) \cdot sec (x)

\frac{d x}{( 1 + x ^{2} ) arctan ( a )}

(e^{x} - x) d x

\frac{- 5 - x}{( x + 9 ) ^{2}}

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