What is expand e^x*(e^x+e^xx) ?

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

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expand e^x*(e^x+e^xx)

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x}, b = e^{x}, c = e^{x} x

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

Simplify

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

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

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

- \frac{54 - 26 x}{x}

\frac{2 ( 2 x - y )}{x}

\frac{1}{2} (2 + ln (1 + 2))

\frac{( x ^{2} + 1 ) ( x ^{2} - 2 )}{x ^{\frac{2}{3}}}

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