What is expand (x+2)e^{1/x} ?

The solution to expand (x+2)e^{1/x} is e^{1/x}x+2e^{1/x}

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expand (x+2)e^{1/x}

expand

(x + 2) e^{\frac{1}{x}}

e^{\frac{1}{x}} x + 2 e^{\frac{1}{x}}

Solution steps

(x + 2) e^{\frac{1}{x}}

= e^{\frac{1}{x}} (x + 2)

Apply the distributive law:

a (b + c) = ab + a c

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

= e^{\frac{1}{x}} x + e^{\frac{1}{x}} \cdot 2

= e^{\frac{1}{x}} x + 2 e^{\frac{1}{x}}

(3 - x 2)^{2}

\frac{d}{d x} ((2 x^{2} - 1) e^{- x^{2}}) + 4

\frac{x ^{2}}{( x - 2 ) ^{3}}

(t cos (t)) \cdot (cos (t) - t sin (t))

(x - y = 3,) (x + 2 y = 6)

What is expand (x+2)e^{1/x} ?
The solution to expand (x+2)e^{1/x} is e^{1/x}x+2e^{1/x}