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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

\frac{x ^{2} + y + y ^{2} x}{x ( x + y )}

- \frac{13}{( 2 x - 3 ) ^{2}}

\frac{3 x + 1}{( x - 1 ) ( x - 5 )}

x (- e^{- x + 4} + 1 = 0.9)

\frac{x + 6}{( x + 2 ) ( x + 5 )}

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