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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

Multiply:

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

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

(x + 2)^{5}

(t^{2} - 2 t) e^{1 - t^{3}}

(t - a) v (t^{'} - a)

\frac{d}{d t} ((x) (12 - 3 t^{3}))

\frac{3}{f ( x - 3 )}

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