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

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

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

expand

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

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

Solution steps

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

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

Distribute parentheses

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

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

Simplify

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

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

(2 x^{2} - 3 x - 2) \pm (4 x^{2} + 5 x + 3)

(t + 2)^{2} e^{t}

3 ((2, 0, - 1) - 2 (1, 2, 3))

\frac{e ^{x}}{( x - 2 ) ^{2}}

e^{2} (e^{m} + 3)^{4}

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