What is expand x^{1/3}(x^2-21) ?

The solution to expand x^{1/3}(x^2-21) is x^{7/3}-x^{1/3}*21

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expand x^{1/3}(x^2-21)

expand

x^{\frac{1}{3}} (x^{2} - 21)

x^{\frac{7}{3}} - x^{\frac{1}{3}} \cdot 21

Solution steps

x^{\frac{1}{3}} (x^{2} - 21)

Apply the distributive law:

a (b - c) = ab - a c

x^{\frac{1}{3}} (x^{2} - 21) = x^{\frac{1}{3}} x^{2} - x^{\frac{1}{3}} \cdot 21

= x^{\frac{1}{3}} x^{2} - x^{\frac{1}{3}} \cdot 21

Simplify

x^{\frac{1}{3}} x^{2} : x^{\frac{7}{3}}

= x^{\frac{7}{3}} - x^{\frac{1}{3}} \cdot 21

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What is expand x^{1/3}(x^2-21) ?
The solution to expand x^{1/3}(x^2-21) is x^{7/3}-x^{1/3}*21