What is expand (x^2-2x-8)e^x ?

The solution to expand (x^2-2x-8)e^x is e^xx^2-2e^xx-8e^x

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expand (x^2-2x-8)e^x

expand

(x^{2} - 2 x - 8) e^{x}

e^{x} x^{2} - 2 e^{x} x - 8 e^{x}

Solution steps

(x^{2} - 2 x - 8) e^{x}

= e^{x} (x^{2} - 2 x - 8)

Distribute parentheses

= e^{x} x^{2} + e^{x} (- 2 x) + e^{x} (- 8)

Apply minus-plus rules

+ (- a) = - a

= e^{x} x^{2} - 2 e^{x} x - 8 e^{x}

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

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

\frac{( x + 2 ) ( x - 4 )}{( x + 4 ) ( x - 5 ) ( x + 1 )}

- 4 x^{5} \cdot x^{5}

lo g_{10} (2) (x + 3)

What is expand (x^2-2x-8)e^x ?
The solution to expand (x^2-2x-8)e^x is e^xx^2-2e^xx-8e^x