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

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

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

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

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

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

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