What is expand ((x-1)e^{2x})/2 ?

The solution to expand ((x-1)e^{2x})/2 is (e^{2x}x)/2-(e^{2x})/2

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expand ((x-1)e^{2x})/2

expand

\frac{( x - 1 ) e ^{2 x}}{2}

\frac{e ^{2 x} x}{2} - \frac{e ^{2 x}}{2}

Solution steps

\frac{( x - 1 ) e ^{2 x}}{2}

Expand

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

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

- 4 b (- 2 b e^{2} - 4)

\frac{3}{( x + 5 ) ^{3}}

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

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

\frac{1}{8} (420 + ln (41))

What is expand ((x-1)e^{2x})/2 ?
The solution to expand ((x-1)e^{2x})/2 is (e^{2x}x)/2-(e^{2x})/2