What is expand (6-x)e^{x/3} ?

The solution to expand (6-x)e^{x/3} is 6e^{x/3}-e^{x/3}x

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expand (6-x)e^{x/3}

expand

(6 - x) e^{\frac{x}{3}}

6 e^{\frac{x}{3}} - e^{\frac{x}{3}} x

Solution steps

(6 - x) e^{\frac{x}{3}}

= e^{\frac{x}{3}} (6 - x)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{\frac{x}{3}}, b = 6, c = x

= e^{\frac{x}{3}} \cdot 6 - e^{\frac{x}{3}} x

= 6 e^{\frac{x}{3}} - e^{\frac{x}{3}} x

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

(\frac{i}{n})^{3}

(x - 1 - 3 i) (x - 1 + 3 i)

- \frac{1}{2} (y - x)

A (5, 1) y B (6, - 2)

What is expand (6-x)e^{x/3} ?
The solution to expand (6-x)e^{x/3} is 6e^{x/3}-e^{x/3}x