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Popular >

expand xe^x(xe^x-1)

Solution

expand

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

Solution

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

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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