What is expand (3x^2-1)e^x+e^x(x^3-x) ?

The solution to expand (3x^2-1)e^x+e^x(x^3-x) is 3e^xx^2-e^x+e^xx^3-e^xx

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expand (3x^2-1)e^x+e^x(x^3-x)

expand

(3 x^{2} - 1) e^{x} + e^{x} (x^{3} - x)

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

Solution steps

(3 x^{2} - 1) e^{x} + e^{x} (x^{3} - x)

= e^{x} (3 x^{2} - 1) + e^{x} (x^{3} - x)

Expand

e^{x} (3 x^{2} - 1) : 3 e^{x} x^{2} - e^{x}

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

Expand

e^{x} (x^{3} - x) : e^{x} x^{3} - e^{x} x

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

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

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

0.00289867 (e^{- 2.40187 t} - e^{- 26.0214 t})

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

(2 - 3) e^{2}

What is expand (3x^2-1)e^x+e^x(x^3-x) ?
The solution to expand (3x^2-1)e^x+e^x(x^3-x) is 3e^xx^2-e^x+e^xx^3-e^xx