What is expand e^{2/x}*(3x+1) ?

The solution to expand e^{2/x}*(3x+1) is 3e^{2/x}x+e^{2/x}

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expand e^{2/x}*(3x+1)

expand

e^{\frac{2}{x}} \cdot (3 x + 1)

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

Solution steps

e^{\frac{2}{x}} (3 x + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{\frac{2}{x}}, b = 3 x, c = 1

= e^{\frac{2}{x}} \cdot 3 x + e^{\frac{2}{x}} \cdot 1

= 3 e^{\frac{2}{x}} x + 1 \cdot e^{\frac{2}{x}}

Multiply:

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

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

\frac{4 ( 2 x + 30 )}{3}

- 4 x^{4} \cdot x^{3}

\frac{( x - k )}{( 3 x + 1 ) ( x + 1 )}

- 4 x^{4} \cdot x^{4}

\frac{x - 8}{( x + 3 ) ( x - 1 )}

What is expand e^{2/x}*(3x+1) ?
The solution to expand e^{2/x}*(3x+1) is 3e^{2/x}x+e^{2/x}