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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

x^{\frac{2}{3}} \cdot 2 x : 2 x^{\frac{5}{3}}

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

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