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

\frac{d}{d x} ((2 A x + b) e^{x}) + e^{x} (A x^{2} + b x + c)

\frac{( 16 + 4 x ^{2} )}{s ^{2} ( s + 4 )}

(5 + 16 - y^{2})^{2}

4 d - 7^{2}

(100 - \frac{x + y}{2}) x

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