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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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