What is expand a^{1/3}*(a^{2/3}-a^{5/3}) ?

The solution to expand a^{1/3}*(a^{2/3}-a^{5/3}) is a-a^2

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expand a^{1/3}*(a^{2/3}-a^{5/3})

expand

a^{\frac{1}{3}} \cdot (a^{\frac{2}{3}} - a^{\frac{5}{3}})

a - a^{2}

Solution steps

a^{\frac{1}{3}} (a^{\frac{2}{3}} - a^{\frac{5}{3}})

Apply the distributive law:

a (b - c) = ab - a c

a^{\frac{1}{3}} (a^{\frac{2}{3}} - a^{\frac{5}{3}}) = a^{\frac{1}{3}} a^{\frac{2}{3}} - a^{\frac{1}{3}} a^{\frac{5}{3}}

= a^{\frac{1}{3}} a^{\frac{2}{3}} - a^{\frac{1}{3}} a^{\frac{5}{3}}

a^{\frac{1}{3}} a^{\frac{2}{3}} = a

a^{\frac{1}{3}} a^{\frac{5}{3}} = a^{2}

= a - a^{2}

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

(2 t - 5)^{2} sin (t)

(u - 1) u^{\frac{1}{2}}

(2 x + 9 - x)^{2}

What is expand a^{1/3}*(a^{2/3}-a^{5/3}) ?
The solution to expand a^{1/3}*(a^{2/3}-a^{5/3}) is a-a^2