What is expand (10x^{1/3}(x^{1/3}-2))/3 ?

The solution to expand (10x^{1/3}(x^{1/3}-2))/3 is (10x^{2/3})/3-(20x^{1/3})/3

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expand (10x^{1/3}(x^{1/3}-2))/3

expand

\frac{10 x ^{\frac{1}{3}} ( x ^{\frac{1}{3}} - 2 )}{3}

\frac{10 x ^{\frac{2}{3}}}{3} - \frac{20 x ^{\frac{1}{3}}}{3}

Solution steps

\frac{10 x ^{\frac{1}{3}} ( x ^{\frac{1}{3}} - 2 )}{3}

Expand

10 x^{\frac{1}{3}} (x^{\frac{1}{3}} - 2) : 10 x^{\frac{2}{3}} - 20 x^{\frac{1}{3}}

= \frac{10 x ^{\frac{2}{3}} - 20 x ^{\frac{1}{3}}}{3}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{10 x ^{\frac{2}{3}} - 20 x ^{\frac{1}{3}}}{3} = \frac{10 x ^{\frac{2}{3}}}{3} - \frac{20 x ^{\frac{1}{3}}}{3}

= \frac{10 x ^{\frac{2}{3}}}{3} - \frac{20 x ^{\frac{1}{3}}}{3}

\frac{2 x + 7}{( x + 2 ) ( x + 3 )}

\frac{b l ( h - 5 )}{2}

\frac{i ( e ^{2 + 3 i} - e ^{- 2 - 3 i} )}{2}

x - y d x + (x + y) d y

(- 10, 0, 0) (- 6, - 9, - in f ini t y)

What is expand (10x^{1/3}(x^{1/3}-2))/3 ?
The solution to expand (10x^{1/3}(x^{1/3}-2))/3 is (10x^{2/3})/3-(20x^{1/3})/3