What is expand (2x^2+3x-3)e^x ?

The solution to expand (2x^2+3x-3)e^x is 2e^xx^2+3e^xx-3e^x

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expand (2x^2+3x-3)e^x

expand

(2 x^{2} + 3 x - 3) e^{x}

2 e^{x} x^{2} + 3 e^{x} x - 3 e^{x}

Solution steps

(2 x^{2} + 3 x - 3) e^{x}

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

= 2 e^{x} x^{2} + 3 e^{x} x - 3 e^{x}

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

\frac{k - 5}{k ( 5 k + 1 )}

\frac{1}{( ( s ^{2} + 2 s + 1 ) ( s + 1 ) )}

(1 + x + x^{2})^{9}

f (- 4 + h, - 6 + k) - f (- 4, - 6)

What is expand (2x^2+3x-3)e^x ?
The solution to expand (2x^2+3x-3)e^x is 2e^xx^2+3e^xx-3e^x