What is expand (e^x)(e^xx^2+4e^xx+2e^x) ?

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

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expand (e^x)(e^xx^2+4e^xx+2e^x)

expand

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

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

Solution steps

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

Distribute parentheses

= (e^{x}) e^{x} x^{2} + (e^{x}) \cdot 4 e^{x} x + (e^{x}) \cdot 2 e^{x}

= e^{x} x^{2} (e^{x}) + 4 e^{x} x (e^{x}) + 2 e^{x} (e^{x})

Simplify

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

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

6 (8 - \frac{n}{7})

(x + 1) (arcsin (x))

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sin (x) (cos (x) + 1)

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