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

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

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

expand

e^{x} \cdot (2 x^{2} + x - 8)

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

Solution steps

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

\frac{s ^{2} + 26 s - 6}{s ( s - 1 ) ( s + 2 )}

8 (- \frac{cos ^{4} ( x )}{4} + \frac{cos ^{6} ( x )}{6})

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

\frac{( x + 1 ) ( x - 3 ) ( x - 5 )}{9}

A (- 5, 1) B (1, - 3)

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