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Popular >

expand xe^x(x+2)

Solution

expand

x e^{x} (x + 2)

Solution

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

Solution steps

x e^{x} (x + 2)

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

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

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

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Frequently Asked Questions (FAQ)

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