What is expand (x-2)e^{9/x} ?

The solution to expand (x-2)e^{9/x} is e^{9/x}x-2e^{9/x}

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expand (x-2)e^{9/x}

expand

(x - 2) e^{\frac{9}{x}}

e^{\frac{9}{x}} x - 2 e^{\frac{9}{x}}

Solution steps

(x - 2) e^{\frac{9}{x}}

= e^{\frac{9}{x}} (x - 2)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{\frac{9}{x}}, b = x, c = 2

= e^{\frac{9}{x}} x - e^{\frac{9}{x}} \cdot 2

= e^{\frac{9}{x}} x - 2 e^{\frac{9}{x}}

\frac{( 3 y - 5 ) ^{2} y ^{2}}{2}

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What is expand (x-2)e^{9/x} ?
The solution to expand (x-2)e^{9/x} is e^{9/x}x-2e^{9/x}