What is expand (e^{x/2}(x-1))/4 ?

The solution to expand (e^{x/2}(x-1))/4 is (e^{x/2}x)/4-(e^{x/2})/4

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expand (e^{x/2}(x-1))/4

expand

\frac{e ^{\frac{x}{2}} ( x - 1 )}{4}

\frac{e ^{\frac{x}{2}} x}{4} - \frac{e ^{\frac{x}{2}}}{4}

Solution steps

\frac{e ^{\frac{x}{2}} ( x - 1 )}{4}

Expand

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

= \frac{e ^{\frac{x}{2}} x - e ^{\frac{x}{2}}}{4}

Apply the fraction rule:

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

\frac{e ^{\frac{x}{2}} x - e ^{\frac{x}{2}}}{4} = \frac{e ^{\frac{x}{2}} x}{4} - \frac{e ^{\frac{x}{2}}}{4}

= \frac{e ^{\frac{x}{2}} x}{4} - \frac{e ^{\frac{x}{2}}}{4}

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

\frac{4 - x}{x ( x - 2 )}

(1, 2, 0) x (0, - 1, 1)

\frac{α π ( 150 + l ) ^{2}}{360}

\frac{π ( 2 2 + 1 )}{6}

What is expand (e^{x/2}(x-1))/4 ?
The solution to expand (e^{x/2}(x-1))/4 is (e^{x/2}x)/4-(e^{x/2})/4