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Popular >

expand x(2x-1)e^x

Solution

expand

x (2 x - 1) e^{x}

Solution

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

Solution steps

x (2 x - 1) e^{x}

= e^{x} x (2 x - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = x e^{x}, b = 2 x, c = 1

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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