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Popular >

expand (x+1)xe^x

Solution

expand

(x + 1) x e^{x}

Solution

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

Solution steps

(x + 1) x e^{x}

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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