What is expand-(20x^{2/3}(x^5-5x^2+5))/3 ?

The solution to expand-(20x^{2/3}(x^5-5x^2+5))/3 is -(20x^{17/3})/3+(100x^{8/3})/3-(100x^{2/3})/3

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expand-(20x^{2/3}(x^5-5x^2+5))/3

expand

- \frac{20 x ^{\frac{2}{3}} ( x ^{5} - 5 x ^{2} + 5 )}{3}

- \frac{20 x ^{\frac{17}{3}}}{3} + \frac{100 x ^{\frac{8}{3}}}{3} - \frac{100 x ^{\frac{2}{3}}}{3}

Solution steps

- \frac{20 x ^{\frac{2}{3}} ( x ^{5} - 5 x ^{2} + 5 )}{3}

Expand

20 x^{\frac{2}{3}} (x^{5} - 5 x^{2} + 5) : 20 x^{\frac{17}{3}} - 100 x^{\frac{8}{3}} + 100 x^{\frac{2}{3}}

= - \frac{20 x ^{\frac{17}{3}} + 100 x ^{\frac{2}{3}} - 100 x ^{\frac{8}{3}}}{3}

Apply the fraction rule:

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

\frac{20 x ^{\frac{17}{3}} - 100 x ^{\frac{8}{3}} + 100 x ^{\frac{2}{3}}}{3} = - (\frac{20 x ^{\frac{17}{3}}}{3}) - (- \frac{100 x ^{\frac{8}{3}}}{3}) - (\frac{100 x ^{\frac{2}{3}}}{3})

= - (\frac{20 x ^{\frac{17}{3}}}{3}) - (- \frac{100 x ^{\frac{8}{3}}}{3}) - (\frac{100 x ^{\frac{2}{3}}}{3})

Remove parentheses:

(a) = a, - (- a) = a

= - \frac{20 x ^{\frac{17}{3}}}{3} + \frac{100 x ^{\frac{8}{3}}}{3} - \frac{100 x ^{\frac{2}{3}}}{3}

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What is expand-(20x^{2/3}(x^5-5x^2+5))/3 ?
The solution to expand-(20x^{2/3}(x^5-5x^2+5))/3 is -(20x^{17/3})/3+(100x^{8/3})/3-(100x^{2/3})/3