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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

a = e^{2 x}, b = x^{2}, c = x

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

4 (2 w - \frac{315}{w ^{2}})

- c b^{\frac{5}{2}} (- \frac{e ^{- \frac{r}{a}} r ^{2}}{a} + 2 e^{- \frac{r}{a}} r)

\frac{4 x ( x + 5 )}{( 2 x - 1 ) ( 3 x + 2 )}

2 t [H (t) - H (t - 1)] + 2 H (t - 1)

\frac{x}{( x + 6 ) ( x + 9 )}

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