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Popular >

expand (xe^x)(1+e^x)

Solution

expand

(x e^{x}) (1 + e^{x})

Solution

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

Solution steps

(x e^{x}) (1 + e^{x})

= (e^{x} x) (1 + e^{x})

Apply the distributive law:

a (b + c) = ab + a c

a = (x e^{x}), b = 1, c = e^{x}

= (x e^{x}) \cdot 1 + (x e^{x}) e^{x}

= 1 \cdot (e^{x} x) + e^{x} (e^{x} x)

Simplify

1 \cdot (e^{x} x) + e^{x} (e^{x} x) : e^{x} x + e^{2 x} x

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

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Frequently Asked Questions (FAQ)

What is expand (xe^x)(1+e^x) ?
The solution to expand (xe^x)(1+e^x) is e^xx+e^{2x}x