What is expand (x^3+3x^2+6x)e^x ?

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

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expand (x^3+3x^2+6x)e^x

expand

(x^{3} + 3 x^{2} + 6 x) e^{x}

e^{x} x^{3} + 3 e^{x} x^{2} + 6 e^{x} x

Solution steps

(x^{3} + 3 x^{2} + 6 x) e^{x}

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

Distribute parentheses

= e^{x} x^{3} + e^{x} \cdot 3 x^{2} + e^{x} \cdot 6 x

= e^{x} x^{3} + 3 e^{x} x^{2} + 6 e^{x} x

lo g_{10} (10000 y)

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