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

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

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

expand

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

- x^{\frac{5}{3}} + x^{\frac{2}{3}} \cdot 2

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

- x^{\frac{2}{3}} (x - 2) = - x^{\frac{2}{3}} x - (- x^{\frac{2}{3}}) \cdot 2

= - x^{\frac{2}{3}} x - (- x^{\frac{2}{3}}) \cdot 2

Simplify

- x^{\frac{2}{3}} x - (- x^{\frac{2}{3}}) \cdot 2 : - x^{\frac{5}{3}} + x^{\frac{2}{3}} \cdot 2

= - x^{\frac{5}{3}} + x^{\frac{2}{3}} \cdot 2

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