What is expand 2/3 ((e^ux^2)/2+c) ?

The solution to expand 2/3 ((e^ux^2)/2+c) is (e^ux^2)/3+(2c)/3

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expand 2/3 ((e^ux^2)/2+c)

expand

\frac{2}{3} (\frac{e ^{u} x ^{2}}{2} + c)

\frac{e ^{u} x ^{2}}{3} + \frac{2 c}{3}

Solution steps

\frac{2}{3} (\frac{e ^{u} x ^{2}}{2} + c)

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{2}{3}, b = \frac{e ^{u} x ^{2}}{2}, c = c

= \frac{2}{3} \cdot \frac{e ^{u} x ^{2}}{2} + \frac{2}{3} c

Simplify

\frac{2}{3} \cdot \frac{e ^{u} x ^{2}}{2} + \frac{2}{3} c : \frac{e ^{u} x ^{2}}{3} + \frac{2 c}{3}

= \frac{e ^{u} x ^{2}}{3} + \frac{2 c}{3}

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

(x - \frac{6}{x})^{7}

(2 t - 3) e^{\frac{( t - 2 )}{3}}

400 (15 - \frac{15 + w}{2}) (w - c)

(x^{2} - 5) (x + 6)^{'}

What is expand 2/3 ((e^ux^2)/2+c) ?
The solution to expand 2/3 ((e^ux^2)/2+c) is (e^ux^2)/3+(2c)/3