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

The solution to expand 2x^{2/3}(x+3) is 2x^{5/3}+6x^{2/3}

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

expand

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

2 x^{\frac{5}{3}} + 6 x^{\frac{2}{3}}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

2 x^{\frac{2}{3}} \cdot 3 = 6 x^{\frac{2}{3}}

= 2 x^{\frac{5}{3}} + 6 x^{\frac{2}{3}}

x (x + y)

(ab + \frac{9}{2}) (- \frac{9}{2} + ab)

tan^{2} (x) - sin^{2} (x) (cot^{2} (x) + tan (x))^{2}

\frac{2 x ( x + 1 ) ( x - 1 )}{x ^{4} + 6 x ^{2} + 1}

\frac{7}{( x - 1 ) ( x + 2 )}

What is expand 2x^{2/3}(x+3) ?
The solution to expand 2x^{2/3}(x+3) is 2x^{5/3}+6x^{2/3}