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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

12 \cdot 4 \frac{1}{2}

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\frac{2 x ^{3}}{( 4 x ^{3} - 7 ) ^{3}}

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