What is expand e^{x/3}(x^2-x-2) ?

The solution to expand e^{x/3}(x^2-x-2) is e^{x/3}x^2-e^{x/3}x-2e^{x/3}

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expand e^{x/3}(x^2-x-2)

expand

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

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

Solution steps

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

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

(x - 2) (\cdot + 2)

\frac{8 a ^{2} b - 32 b ^{3}}{x ^{2} + 2 ( a - 2 b ) x - 8 ab}

\frac{i 400}{( 32 - 21 i )}

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