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

The solution to expand x(2xe^x+e^xx^2) is 2e^xx^2+e^xx^3

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expand x(2xe^x+e^xx^2)

expand

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

2 e^{x} x^{2} + e^{x} x^{3}

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

2 e^{x} xx + e^{x} x^{2} x : 2 e^{x} x^{2} + e^{x} x^{3}

= 2 e^{x} x^{2} + e^{x} x^{3}

\frac{4 ( 4 - 2 )}{7}

π (x + 5)^{2}

m (3 m + 2 = y d + 4)

(y^{2} + y x) d x + x^{2} d y

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

What is expand x(2xe^x+e^xx^2) ?
The solution to expand x(2xe^x+e^xx^2) is 2e^xx^2+e^xx^3