What is expand (x(e^{x^2}-1))/3 ?

The solution to expand (x(e^{x^2}-1))/3 is (e^{x^2}x)/3-x/3

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expand (x(e^{x^2}-1))/3

expand

\frac{x ( e ^{x^{2}} - 1 )}{3}

\frac{e ^{x^{2}} x}{3} - \frac{x}{3}

Solution steps

\frac{x ( e ^{x^{2}} - 1 )}{3}

Expand

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

= \frac{e ^{x^{2}} x - x}{3}

Apply the fraction rule:

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

\frac{e ^{x^{2}} x - x}{3} = \frac{e ^{x^{2}} x}{3} - \frac{x}{3}

= \frac{e ^{x^{2}} x}{3} - \frac{x}{3}

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

\frac{( 2 x ^{3} - 9 x ^{2} + 3 x - 4 )}{( 2 x ^{2} - 7 x - 4 )}

(x + 3) (x - 4)

d^{2} (\frac{c}{2} - \frac{d}{3})

(\frac{3}{2} x + 30) (23 x + 30) \circ

What is expand (x(e^{x^2}-1))/3 ?
The solution to expand (x(e^{x^2}-1))/3 is (e^{x^2}x)/3-x/3