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

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

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

expand

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

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

Solution steps

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

\frac{4 ( x ^{2} + 6 )}{( 1 - 2 x ) ( 2 + x ) ^{2}}

4 sin (\frac{π}{3} (x - 2)) + 8

a (e^{- ik x} - e^{ik x})

e^{4 t} cos (4 t) (sin (4 t) - cos (4 t))

(a - b) (b - c) (c - d) (d - e) (a - e)

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