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Popular >

expand xe^x(2+x)

Solution

expand

x e^{x} (2 + x)

Solution

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

Solution steps

x e^{x} (2 + x)

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

e^{x} xx = e^{x} x^{2}

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

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Frequently Asked Questions (FAQ)

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