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

The solution to expand e^x(x-2)^2 is e^xx^2-4e^xx+4e^x

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expand e^x(x-2)^2

expand

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

e^{x} x^{2} - 4 e^{x} x + 4 e^{x}

Solution steps

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

(x - 2)^{2} = x^{2} - 4 x + 4

= e^{x} (x^{2} - 4 x + 4)

Distribute parentheses

= e^{x} x^{2} + e^{x} (- 4 x) + e^{x} \cdot 4

Apply minus-plus rules

+ (- a) = - a

= e^{x} x^{2} - 4 e^{x} x + 4 e^{x}

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What is expand e^x(x-2)^2 ?
The solution to expand e^x(x-2)^2 is e^xx^2-4e^xx+4e^x