What is expand e^x(x-2)^3 ?

The solution to expand e^x(x-2)^3 is e^xx^3-6e^xx^2+12e^xx-8e^x

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expand e^x(x-2)^3

expand

e^{x} (x - 2)^{3}

e^{x} x^{3} - 6 e^{x} x^{2} + 12 e^{x} x - 8 e^{x}

Solution steps

e^{x} (x - 2)^{3}

(x - 2)^{3} = x^{3} - 6 x^{2} + 12 x - 8

= e^{x} (x^{3} - 6 x^{2} + 12 x - 8)

Distribute parentheses

= e^{x} x^{3} + e^{x} (- 6 x^{2}) + e^{x} \cdot 12 x + e^{x} (- 8)

Apply minus-plus rules

+ (- a) = - a

= e^{x} x^{3} - 6 e^{x} x^{2} + 12 e^{x} x - 8 e^{x}

(1 + x) y + \frac{( 1 - y ) x d y}{d x}

(2 \cdot (n + 1))!

π (x + 4)^{2} 5

y (- 2 y \cdot x = - 1 - 3 x)

- \frac{3 ( 3970 - 50 )}{49}

What is expand e^x(x-2)^3 ?
The solution to expand e^x(x-2)^3 is e^xx^3-6e^xx^2+12e^xx-8e^x