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Popular >

expand (xe^x-1)e^x

Solution

expand

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

Solution

e^{2 x} x - e^{x}

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

= e^{x} x e^{x} - e^{x} \cdot 1

= e^{x} e^{x} x - 1 \cdot e^{x}

Simplify

e^{x} e^{x} x - 1 \cdot e^{x} : e^{2 x} x - e^{x}

= e^{2 x} x - e^{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^{2x}x-e^x