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

The solution to expand 3(2x*e^x+e^x*x^2)(e^x*x^3+3x^2*e^x) is 3e^{2x}x^5+15e^{2x}x^4+18e^{2x}x^3

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expand 3(2xe^x+e^xx^2)(e^xx^3+3x^2e^x)

expand

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

3 e^{2 x} x^{5} + 15 e^{2 x} x^{4} + 18 e^{2 x} x^{3}

Solution steps

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

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

Expand

(2 x e^{x} + e^{x} x^{2}) (e^{x} x^{3} + 3 x^{2} e^{x}) : e^{2 x} x^{5} + 5 e^{2 x} x^{4} + 6 e^{2 x} x^{3}

= 3 (e^{2 x} x^{5} + 5 e^{2 x} x^{4} + 6 e^{2 x} x^{3})

Expand

3 (e^{2 x} x^{5} + 5 e^{2 x} x^{4} + 6 e^{2 x} x^{3}) : 3 e^{2 x} x^{5} + 15 e^{2 x} x^{4} + 18 e^{2 x} x^{3}

= 3 e^{2 x} x^{5} + 15 e^{2 x} x^{4} + 18 e^{2 x} x^{3}

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

5 (e^{(1 - 0.1 x)} + e^{(0.1 x - 1)})

- \frac{35 ( - e ^{\frac{1}{x}} - 2 e ^{\frac{1}{x}} x )}{x ^{4}}

\frac{31 ( 6.26 s + 77.22 )}{s ^{2} ( s + 143 ) ( 0.155 s + 1 )}

\frac{x ^{2} ( - 2 + x )}{6}

What is expand 3(2x*e^x+e^x*x^2)(e^x*x^3+3x^2*e^x) ?
The solution to expand 3(2x*e^x+e^x*x^2)(e^x*x^3+3x^2*e^x) is 3e^{2x}x^5+15e^{2x}x^4+18e^{2x}x^3