What is expand (8x^2-16x+16)e^x ?

The solution to expand (8x^2-16x+16)e^x is 8e^xx^2-16e^xx+16e^x

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expand (8x^2-16x+16)e^x

expand

(8 x^{2} - 16 x + 16) e^{x}

8 e^{x} x^{2} - 16 e^{x} x + 16 e^{x}

Solution steps

(8 x^{2} - 16 x + 16) e^{x}

= e^{x} (8 x^{2} - 16 x + 16)

Distribute parentheses

= e^{x} \cdot 8 x^{2} + e^{x} (- 16 x) + e^{x} \cdot 16

Apply minus-plus rules

+ (- a) = - a

= 8 e^{x} x^{2} - 16 e^{x} x + 16 e^{x}

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What is expand (8x^2-16x+16)e^x ?
The solution to expand (8x^2-16x+16)e^x is 8e^xx^2-16e^xx+16e^x