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

The solution to expand (x^3e^{3x}+2)(x) is e^{3x}x^4+2x

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

expand

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

e^{3 x} x^{4} + 2 x

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = (x), b = x^{3} e^{3 x}, c = 2

= (x) x^{3} e^{3 x} + (x) \cdot 2

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

Simplify

e^{3 x} x^{3} (x) + 2 (x) : e^{3 x} x^{4} + 2 x

= e^{3 x} x^{4} + 2 x

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\frac{( 6 z ^{2} - 2 z - 1 )}{( ( z - 1 ) ^{3} \cdot ( z + 1 ) )}

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What is expand (x^3e^{3x}+2)(x) ?
The solution to expand (x^3e^{3x}+2)(x) is e^{3x}x^4+2x