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

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

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

expand

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

- 1 + x

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Apply minus-plus rules

+ (- a) = - a

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

Simplify

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

= - 1 + x

\frac{d}{d y} ((x) (x^{3} + x y^{2}))

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π (10 x + 9)^{2}

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\frac{10 s + 1}{s ( s + 4 )}

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